Bhargava, M.; Shankar, A.; Taniguchi, T.; Thorne, F.; Tsimerman, J.; Zhao, Y. Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. (English) Zbl 07268738 J. Am. Math. Soc. 33, No. 4, 1087-1099 (2020). Reviewer: Sajad Salami (Rio de Janeiro) MSC: 11G05 11R29 PDF BibTeX XML Cite \textit{M. Bhargava} et al., J. Am. Math. Soc. 33, No. 4, 1087--1099 (2020; Zbl 07268738) Full Text: DOI
Matar, Ahmed On the \(\Lambda \)-cotorsion subgroup of the Selmer group. (English) Zbl 1444.11120 Asian J. Math. 24, No. 3, 437-456 (2020). MSC: 11G05 11R23 12G05 PDF BibTeX XML Cite \textit{A. Matar}, Asian J. Math. 24, No. 3, 437--456 (2020; Zbl 1444.11120) Full Text: DOI
Chiu, Ching-Heng Strong Selmer companion elliptic curves. (English) Zbl 07242316 J. Number Theory 217, 376-421 (2020). MSC: 11G05 PDF BibTeX XML Cite \textit{C.-H. Chiu}, J. Number Theory 217, 376--421 (2020; Zbl 07242316) Full Text: DOI
Saikia, Anupam On the Iwasawa \(\mu \)-invariants of supersingular elliptic curves. (English) Zbl 07221813 Acta Arith. 194, No. 2, 179-186 (2020). MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{A. Saikia}, Acta Arith. 194, No. 2, 179--186 (2020; Zbl 07221813) Full Text: DOI
Vrećica, Ilija S. Joint distribution for the Selmer ranks of the congruent number curves. (English) Zbl 07217123 Czech. Math. J. 70, No. 1, 105-119 (2020). MSC: 11G05 14H52 11N45 PDF BibTeX XML Cite \textit{I. S. Vrećica}, Czech. Math. J. 70, No. 1, 105--119 (2020; Zbl 07217123) Full Text: DOI
Ohshita, Tatsuya Asymptotic lower bound of class numbers along a Galois representation. (English) Zbl 07185506 J. Number Theory 211, 95-112 (2020). Reviewer: Piotr Krasoń (Szczecin) MSC: 11R29 11G05 11G10 11R23 PDF BibTeX XML Cite \textit{T. Ohshita}, J. Number Theory 211, 95--112 (2020; Zbl 07185506) Full Text: DOI
Freitas, Nuno; Naskręcki, Bartosz; Stoll, Michael The generalized Fermat equation with exponents \(2,3,n\). (English) Zbl 1450.11024 Compos. Math. 156, No. 1, 77-113 (2020). Reviewer: Maciej Ulas (Kraków) MSC: 11D41 11F80 11G05 11G07 11G30 14G05 14G25 PDF BibTeX XML Cite \textit{N. Freitas} et al., Compos. Math. 156, No. 1, 77--113 (2020; Zbl 1450.11024) Full Text: DOI
Bhave, Amala; Bora, Lachit On the Selmer group of a certain \(p\)-adic Lie extension. (English) Zbl 07104866 Bull. Aust. Math. Soc. 100, No. 2, 245-255 (2019). MSC: 11R23 11R20 11R34 PDF BibTeX XML Cite \textit{A. Bhave} and \textit{L. Bora}, Bull. Aust. Math. Soc. 100, No. 2, 245--255 (2019; Zbl 07104866) Full Text: DOI
Lei, Antonio; Palvannan, Bharathwaj Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction. (English) Zbl 07094013 Forum Math. Sigma 7, Paper No. e25, 81 p. (2019). Reviewer: Wei Feng (Beijing) MSC: 11R23 11G05 11G07 11R34 11S25 PDF BibTeX XML Cite \textit{A. Lei} and \textit{B. Palvannan}, Forum Math. Sigma 7, Paper No. e25, 81 p. (2019; Zbl 07094013) Full Text: DOI arXiv
Morgan, Adam Quadratic twists of abelian varieties and disparity in Selmer ranks. (English) Zbl 07059758 Algebra Number Theory 13, No. 4, 839-899 (2019). Reviewer: Sajad Salami (Rio de Janeiro) MSC: 11G10 PDF BibTeX XML Cite \textit{A. Morgan}, Algebra Number Theory 13, No. 4, 839--899 (2019; Zbl 07059758) Full Text: DOI
Liu, Yifeng Bounding cubic-triple product Selmer groups of elliptic curves. (English) Zbl 07058152 J. Eur. Math. Soc. (JEMS) 21, No. 5, 1411-1508 (2019). MSC: 11G05 11R34 14G35 PDF BibTeX XML Cite \textit{Y. Liu}, J. Eur. Math. Soc. (JEMS) 21, No. 5, 1411--1508 (2019; Zbl 07058152) Full Text: DOI arXiv
Im, Bo-Hae; Kim, Byoung Du Ranks of rational points of the Jacobian varieties of hyperelliptic curves. (English) Zbl 06963698 J. Number Theory 195, 23-50 (2019). MSC: 11G10 11R23 14G05 14G25 PDF BibTeX XML Cite \textit{B.-H. Im} and \textit{B. D. Kim}, J. Number Theory 195, 23--50 (2019; Zbl 06963698) Full Text: DOI arXiv
Poonen, Bjorn Heuristics for the arithmetic of elliptic curves. (English) Zbl 1443.11100 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 399-414 (2018). MSC: 11G05 11G40 14G25 14H52 14K15 PDF BibTeX XML Cite \textit{B. Poonen}, in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 399--414 (2018; Zbl 1443.11100) Full Text: DOI
Česnavičius, Kęstutis The \(\ell\)-parity conjecture over the constant quadratic extension. (English) Zbl 1448.11111 Math. Proc. Camb. Philos. Soc. 165, No. 3, 385-409 (2018). MSC: 11G10 11G40 PDF BibTeX XML Cite \textit{K. Česnavičius}, Math. Proc. Camb. Philos. Soc. 165, No. 3, 385--409 (2018; Zbl 1448.11111) Full Text: DOI
Dummit, David S.; Voight, John The 2-Selmer group of a number field and heuristics for narrow class groups and signature ranks of units. (English) Zbl 06968908 Proc. Lond. Math. Soc. (3) 117, No. 4, 682-726 (2018). MSC: 11R29 11R27 11R45 11Y40 PDF BibTeX XML Cite \textit{D. S. Dummit} and \textit{J. Voight}, Proc. Lond. Math. Soc. (3) 117, No. 4, 682--726 (2018; Zbl 06968908) Full Text: DOI
Mazur, Barry; Rubin, Karl; Larsen, Michael Diophantine stability. (English) Zbl 06924832 Am. J. Math. 140, No. 3, 571-616 (2018). MSC: 14G05 11G05 14H25 14K05 PDF BibTeX XML Cite \textit{B. Mazur} et al., Am. J. Math. 140, No. 3, 571--616 (2018; Zbl 06924832) Full Text: DOI arXiv
Lim, Meng Fai; Sujatha, Ramdorai Fine Selmer groups of congruent Galois representations. (English) Zbl 1430.11148 J. Number Theory 187, 66-91 (2018). MSC: 11R23 11R34 11F80 16S34 PDF BibTeX XML Cite \textit{M. F. Lim} and \textit{R. Sujatha}, J. Number Theory 187, 66--91 (2018; Zbl 1430.11148) Full Text: DOI arXiv
Elias, Yara On the Selmer group attached to a modular form and an algebraic Hecke character. (English) Zbl 1431.11082 Ramanujan J. 45, No. 1, 141-169 (2018). Reviewer: Kazuma Morita (Sapporo) MSC: 11G40 14G10 11G05 11G35 PDF BibTeX XML Cite \textit{Y. Elias}, Ramanujan J. 45, No. 1, 141--169 (2018; Zbl 1431.11082) Full Text: DOI arXiv
Lai, King Fai; Longhi, Ignazio; Tan, Ki-Seng; Trihan, Fabien Pontryagin duality for Iwasawa modules and abelian varieties. (English) Zbl 1444.11236 Trans. Am. Math. Soc. 370, No. 3, 1925-1958 (2018). Reviewer: Andrea Bandini (Pisa) MSC: 11S40 11R23 11R34 11R42 11R58 11G05 11G10 PDF BibTeX XML Cite \textit{K. F. Lai} et al., Trans. Am. Math. Soc. 370, No. 3, 1925--1958 (2018; Zbl 1444.11236) Full Text: DOI arXiv
Stoll, Michael Chabauty without the Mordell-Weil group. (English) Zbl 1425.11131 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 623-663 (2017). MSC: 11G30 14G05 14G25 14H25 11Y50 11D41 PDF BibTeX XML Cite \textit{M. Stoll}, in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 623--663 (2017; Zbl 1425.11131) Full Text: DOI
Macias Castillo, Daniel On the Krull-Schmidt decomposition of Mordell-Weil groups. (English) Zbl 1434.11122 Tokyo J. Math. 40, No. 2, 353-378 (2017). MSC: 11G35 11R33 11R34 PDF BibTeX XML Cite \textit{D. Macias Castillo}, Tokyo J. Math. 40, No. 2, 353--378 (2017; Zbl 1434.11122) Full Text: Euclid
Tian, Ye; Yuan, Xinyi; Zhang, Shou-Wu Genus periods, genus points and congruent number problem. (English) Zbl 1441.11172 Asian J. Math. 21, No. 4, 721-774 (2017). MSC: 11G40 11G05 11D25 PDF BibTeX XML Cite \textit{Y. Tian} et al., Asian J. Math. 21, No. 4, 721--774 (2017; Zbl 1441.11172) Full Text: DOI arXiv
Jha, Somnath; Majumdar, Dipramit Functional equation for the Selmer group of nearly ordinary Hida deformation of Hilbert modular forms. (English) Zbl 1441.11275 Asian J. Math. 21, No. 3, 397-428 (2017). MSC: 11R23 11F41 11F33 11F80 PDF BibTeX XML Cite \textit{S. Jha} and \textit{D. Majumdar}, Asian J. Math. 21, No. 3, 397--428 (2017; Zbl 1441.11275) Full Text: DOI arXiv
Česnavičius, Kęstutis \(p\)-Selmer growth in extensions of degree \(p\). (English) Zbl 1396.11088 J. Lond. Math. Soc., II. Ser. 95, No. 3, 833-852 (2017). Reviewer: Mohammad Sadek (New Cairo) MSC: 11G10 11R34 11R58 PDF BibTeX XML Cite \textit{K. Česnavičius}, J. Lond. Math. Soc., II. Ser. 95, No. 3, 833--852 (2017; Zbl 1396.11088) Full Text: DOI
Lei, Antonio; Loeffler, David; Zerbes, Sarah Livia On the asymptotic growth of Bloch-Kato-Shafarevich-Tate groups of modular forms over cyclotomic extensions. (English) Zbl 1430.11146 Can. J. Math. 69, No. 4, 826-850 (2017). Reviewer: Gabriel D. Villa Salvador (México D. F.) MSC: 11R18 11F11 11R23 11F85 PDF BibTeX XML Cite \textit{A. Lei} et al., Can. J. Math. 69, No. 4, 826--850 (2017; Zbl 1430.11146) Full Text: DOI arXiv
Klagsbrun, Zev Selmer ranks of quadratic twists of elliptic curves with partial rational two-torsion. (English) Zbl 1377.11071 Trans. Am. Math. Soc. 369, No. 5, 3355-3385 (2017). Reviewer: Masato Kuwata (Tokyo) MSC: 11G05 14G25 14H52 PDF BibTeX XML Cite \textit{Z. Klagsbrun}, Trans. Am. Math. Soc. 369, No. 5, 3355--3385 (2017; Zbl 1377.11071) Full Text: DOI arXiv
Liu, Yifeng Hirzebruch-Zagier cycles and twisted triple product Selmer groups. (English) Zbl 1395.11091 Invent. Math. 205, No. 3, 693-780 (2016). Reviewer: Sungkon Chang (Savannah) MSC: 11G05 11R34 14G35 PDF BibTeX XML Cite \textit{Y. Liu}, Invent. Math. 205, No. 3, 693--780 (2016; Zbl 1395.11091) Full Text: DOI arXiv
Darmon, Henri; Rotger, Victor Elliptic curves of rank two and generalised Kato classes. (English) Zbl 1416.11096 Res. Math. Sci. 3, Paper No. 27, 32 p. (2016). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{H. Darmon} and \textit{V. Rotger}, Res. Math. Sci. 3, Paper No. 27, 32 p. (2016; Zbl 1416.11096) Full Text: DOI
Jha, Somnath; Ochiai, Tadashi; Zábrádi, Gergely On twists of modules over noncommutative Iwasawa algebras. (English) Zbl 1341.11061 Algebra Number Theory 10, No. 3, 685-694 (2016). Reviewer: Andrea Bandini (Parma) MSC: 11R23 16S50 PDF BibTeX XML Cite \textit{S. Jha} et al., Algebra Number Theory 10, No. 3, 685--694 (2016; Zbl 1341.11061) Full Text: DOI arXiv
Bhargava, Manjul; Ho, Wei Coregular spaces and genus one curves. (English) Zbl 1342.14074 Camb. J. Math. 4, No. 1, 1-119 (2016). Reviewer: Michel Waldschmidt (Paris) MSC: 14H60 11E12 11E20 11E76 11G05 11R45 14H52 PDF BibTeX XML Cite \textit{M. Bhargava} and \textit{W. Ho}, Camb. J. Math. 4, No. 1, 1--119 (2016; Zbl 1342.14074) Full Text: DOI arXiv
Lai, King Fai; Longhi, Ignazio; Tan, Ki-Seng; Trihan, Fabien The Iwasawa main conjecture for semistable abelian varieties over function fields. (English) Zbl 1387.11079 Math. Z. 282, No. 1-2, 485-510 (2016). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11G05 11G10 11R34 11R42 11R58 11S40 PDF BibTeX XML Cite \textit{K. F. Lai} et al., Math. Z. 282, No. 1--2, 485--510 (2016; Zbl 1387.11079) Full Text: DOI arXiv
Zamani, Naser; Shams, Arman On the group of the elliptic curve \(y^2 = x^3 + 4px\). (English) Zbl 1389.11102 Eur. J. Pure Appl. Math. 8, No. 1, 126-134 (2015). MSC: 11G05 PDF BibTeX XML Cite \textit{N. Zamani} and \textit{A. Shams}, Eur. J. Pure Appl. Math. 8, No. 1, 126--134 (2015; Zbl 1389.11102) Full Text: Link
Stoll, Michael Descent and covering collections. (English) Zbl 1343.14021 Beshaj, Lubjana (ed.) et al., Advances on superelliptic curves and their applications. Based on the NATO Advanced Study Institute (ASI), Ohrid, Macedonia, 2014. Amsterdam: IOS Press (ISBN 978-1-61499-519-7/hbk; 978-1-61499-520-3/ebook). NATO Science for Peace and Security Series D: Information and Communication Security 41, 176-193 (2015). MSC: 14H30 14H45 14G05 PDF BibTeX XML Cite \textit{M. Stoll}, NATO Sci. Peace Secur. Ser. D, Inf. Commun. Secur. 41, 176--193 (2015; Zbl 1343.14021) Full Text: DOI
Daghigh, Hassan; Didari, Somayeh On the elliptic curves of the form \(y^2 = x^3 - pqx\). (English) Zbl 1395.11087 Iran. J. Math. Sci. Inform. 10, No. 2, 77-86 (2015). MSC: 11G05 14H52 PDF BibTeX XML Cite \textit{H. Daghigh} and \textit{S. Didari}, Iran. J. Math. Sci. Inform. 10, No. 2, 77--86 (2015; Zbl 1395.11087) Full Text: Link
Pries, Rachel; Weir, Colin The Ekedahl-Oort type of Jacobians of Hermitian curves. (English) Zbl 1392.11038 Asian J. Math. 19, No. 5, 845-869 (2015). MSC: 11G20 14H40 PDF BibTeX XML Cite \textit{R. Pries} and \textit{C. Weir}, Asian J. Math. 19, No. 5, 845--869 (2015; Zbl 1392.11038) Full Text: DOI arXiv
Dokchitser, Tim; Dokchitser, Vladimir Growth of \({\text Ш}\) in towers for isogenous curves. (English) Zbl 1351.11035 Compos. Math. 151, No. 11, 1981-2005 (2015). Reviewer: Andrea Bandini (Parma) MSC: 11G10 11G40 11G05 11G07 11R23 11D68 PDF BibTeX XML Cite \textit{T. Dokchitser} and \textit{V. Dokchitser}, Compos. Math. 151, No. 11, 1981--2005 (2015; Zbl 1351.11035) Full Text: DOI arXiv
Burns, David; Castillo, Daniel Macias; Wuthrich, Christian On the Galois structure of Selmer groups. (English) Zbl 1334.11043 Int. Math. Res. Not. 2015, No. 22, 11909-11933 (2015). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G10 11R34 14K15 PDF BibTeX XML Cite \textit{D. Burns} et al., Int. Math. Res. Not. 2015, No. 22, 11909--11933 (2015; Zbl 1334.11043) Full Text: DOI arXiv
Elias, Yara Kolyvagin’s method for Chow groups of Kuga-Sato varieties over ring class fields. (English. French summary) Zbl 1398.11101 Ann. Math. Qué. 39, No. 2, 147-167 (2015). MSC: 11G40 11G18 14C15 PDF BibTeX XML Cite \textit{Y. Elias}, Ann. Math. Qué. 39, No. 2, 147--167 (2015; Zbl 1398.11101) Full Text: DOI arXiv
Wan, Xin The Iwasawa main conjecture for Hilbert modular forms. (English) Zbl 1379.11089 Forum Math. Sigma 3, Paper No. e18, 95 p. (2015). MSC: 11R23 11F41 PDF BibTeX XML Cite \textit{X. Wan}, Forum Math. Sigma 3, Paper No. e18, 95 p. (2015; Zbl 1379.11089) Full Text: DOI
Backhausz, Tibor; Zábrádi, Gergely Algebraic functional equations and completely faithful Selmer groups. (English) Zbl 1325.11113 Int. J. Number Theory 11, No. 4, 1233-1257 (2015). Reviewer: L. N. Vaserstein (University Park) MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{T. Backhausz} and \textit{G. Zábrádi}, Int. J. Number Theory 11, No. 4, 1233--1257 (2015; Zbl 1325.11113) Full Text: DOI arXiv
Lim, Meng Fai; Murty, V. Kumar Growth of Selmer groups of CM abelian varieties. (English) Zbl 1394.11052 Can. J. Math. 67, No. 3, 654-666 (2015). MSC: 11G15 11G10 11R23 11R34 PDF BibTeX XML Cite \textit{M. F. Lim} and \textit{V. K. Murty}, Can. J. Math. 67, No. 3, 654--666 (2015; Zbl 1394.11052) Full Text: DOI
Lim, Meng Fai On completely faithful Selmer groups of elliptic curves and Hida deformations. (English) Zbl 1325.11054 J. Algebra 432, 72-90 (2015). Reviewer: Piotr Krasoń (Szczecin) MSC: 11F80 11G05 11R23 11R34 16S34 PDF BibTeX XML Cite \textit{M. F. Lim}, J. Algebra 432, 72--90 (2015; Zbl 1325.11054) Full Text: DOI arXiv
Česnavičius, Kęstutis Selmer groups and class groups. (English) Zbl 1319.11037 Compos. Math. 151, No. 3, 416-434 (2015). Reviewer: Davide Lombardo (Orsay) MSC: 11G10 11R23 11R29 11R58 PDF BibTeX XML Cite \textit{K. Česnavičius}, Compos. Math. 151, No. 3, 416--434 (2015; Zbl 1319.11037) Full Text: DOI arXiv
Lai, King Fai; Longhi, Ignazio; Tan, Ki-Seng; Trihan, Fabien An example of non-cotorsion Selmer group. (English) Zbl 1310.11065 Proc. Am. Math. Soc. 143, No. 6, 2355-2364 (2015). Reviewer: Andreas Nickel (Bielefeld) MSC: 11G05 11R23 11R58 PDF BibTeX XML Cite \textit{K. F. Lai} et al., Proc. Am. Math. Soc. 143, No. 6, 2355--2364 (2015; Zbl 1310.11065) Full Text: DOI
Xiong, Maosheng On positive proportion of rank-zero twists of elliptic curves over \(\mathbb{Q}\). (English) Zbl 1323.11038 J. Aust. Math. Soc. 98, No. 2, 281-288 (2015). Reviewer: Davide Lombardo (Orsay) MSC: 11G05 14H52 PDF BibTeX XML Cite \textit{M. Xiong}, J. Aust. Math. Soc. 98, No. 2, 281--288 (2015; Zbl 1323.11038) Full Text: DOI arXiv
Bhargava, Manjul; Shankar, Arul Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0. (English) Zbl 1317.11038 Ann. Math. (2) 181, No. 2, 587-621 (2015). Reviewer: Michael Th. Rassias (Princeton) MSC: 11E76 11G05 PDF BibTeX XML Cite \textit{M. Bhargava} and \textit{A. Shankar}, Ann. Math. (2) 181, No. 2, 587--621 (2015; Zbl 1317.11038) Full Text: DOI arXiv
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M. Explicit \(n\)-descent on elliptic curves. III: Algorithms. (English) Zbl 1308.11058 Math. Comput. 84, No. 292, 895-922 (2015). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 14H25 14H52 PDF BibTeX XML Cite \textit{J. E. Cremona} et al., Math. Comput. 84, No. 292, 895--922 (2015; Zbl 1308.11058) Full Text: DOI arXiv
Thorne, Jack A. \(E_{6}\) and the arithmetic of a family of non-hyperelliptic curves of genus 3. (English) Zbl 1346.14058 Forum Math. Pi 3, Paper No. e1, 41 p. (2015). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 14G05 14L30 11G30 PDF BibTeX XML Cite \textit{J. A. Thorne}, Forum Math. Pi 3, Paper No. e1, 41 p. (2015; Zbl 1346.14058) Full Text: DOI
Bhargava, Manjul; Shankar, Arul Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves. (English) Zbl 1307.11071 Ann. Math. (2) 181, No. 1, 191-242 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11G05 11E76 11P21 PDF BibTeX XML Cite \textit{M. Bhargava} and \textit{A. Shankar}, Ann. Math. (2) 181, No. 1, 191--242 (2015; Zbl 1307.11071) Full Text: DOI arXiv
Schaefer, Edward F. Corrigendum to: “Class groups and Selmer groups”. (English) Zbl 1384.11074 J. Number Theory 135, 390 (2014). MSC: 11G10 14K02 11R29 11R34 11G35 PDF BibTeX XML Cite \textit{E. F. Schaefer}, J. Number Theory 135, 390 (2014; Zbl 1384.11074) Full Text: DOI
Daghigh, H.; Didari, S. On the elliptic curves of the form \(y^2=x^3-3px\). (English) Zbl 1364.11104 Bull. Iran. Math. Soc. 40, No. 5, 1119-1133 (2014). MSC: 11G05 14H52 PDF BibTeX XML Cite \textit{H. Daghigh} and \textit{S. Didari}, Bull. Iran. Math. Soc. 40, No. 5, 1119--1133 (2014; Zbl 1364.11104) Full Text: Link
Hố, Q. P.; Lê Hùng, V. B.; Ngô, B. C. Average size of 2-Selmer groups of elliptic curves over function fields. (English) Zbl 1316.14055 Math. Res. Lett. 21, No. 6, 1305-1339 (2014). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11G05 11E76 PDF BibTeX XML Cite \textit{Q. P. Hố} et al., Math. Res. Lett. 21, No. 6, 1305--1339 (2014; Zbl 1316.14055) Full Text: DOI
Zhang, Wei Selmer groups and the indivisibility of Heegner points. (English) Zbl 1390.11091 Camb. J. Math. 2, No. 2, 191-253 (2014). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{W. Zhang}, Camb. J. Math. 2, No. 2, 191--253 (2014; Zbl 1390.11091) Full Text: DOI
Li, Xiumei; Zeng, Jinxiang On the elliptic curve \(y^2= x^3-2rDx\) and factoring integers. (English) Zbl 1384.11103 Sci. China, Math. 57, No. 4, 719-728 (2014). MSC: 11Y05 11Y11 11Y40 11G05 14G50 PDF BibTeX XML Cite \textit{X. Li} and \textit{J. Zeng}, Sci. China, Math. 57, No. 4, 719--728 (2014; Zbl 1384.11103) Full Text: DOI
Poonen, Bjorn; Stoll, Michael Most odd degree hyperelliptic curves have only one rational point. (English) Zbl 1303.11073 Ann. Math. (2) 180, No. 3, 1137-1166 (2014). Reviewer: Ruben A. Hidalgo (Temuco) MSC: 11G30 14G25 PDF BibTeX XML Cite \textit{B. Poonen} and \textit{M. Stoll}, Ann. Math. (2) 180, No. 3, 1137--1166 (2014; Zbl 1303.11073) Full Text: DOI arXiv
Burns, David; Macias Castillo, Daniel Organizing matrices for arithmetic complexes. (English) Zbl 1311.11103 Int. Math. Res. Not. 2014, No. 10, 2814-2883 (2014). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R23 11G05 19F05 11R70 PDF BibTeX XML Cite \textit{D. Burns} and \textit{D. Macias Castillo}, Int. Math. Res. Not. 2014, No. 10, 2814--2883 (2014; Zbl 1311.11103) Full Text: DOI
Jha, Somnath; Pal, Aprameyo Algebraic functional equation for Hida family. (English) Zbl 1317.11109 Int. J. Number Theory 10, No. 7, 1649-1674 (2014). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11F33 11F80 11G05 11G40 PDF BibTeX XML Cite \textit{S. Jha} and \textit{A. Pal}, Int. J. Number Theory 10, No. 7, 1649--1674 (2014; Zbl 1317.11109) Full Text: DOI
Lei, Antonio; Loeffler, David; Zerbes, Sarah Livia Euler systems for Rankin-Selberg convolutions of modular forms. (English) Zbl 1315.11044 Ann. Math. (2) 180, No. 2, 653-771 (2014). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11F85 11F67 14C15 PDF BibTeX XML Cite \textit{A. Lei} et al., Ann. Math. (2) 180, No. 2, 653--771 (2014; Zbl 1315.11044) Full Text: DOI arXiv
Moehlmann, G. Computation of Mordell-Weil bases for ordinary elliptic curves in characteristic two. (English) Zbl 1296.11065 LMS J. Comput. Math. 17A, Spec. Iss., 1-13 (2014). MSC: 11G05 11G07 14G25 14G17 PDF BibTeX XML Cite \textit{G. Moehlmann}, LMS J. Comput. Math. 17A, 1--13 (2014; Zbl 1296.11065) Full Text: DOI
Li, Zane Kun Quadratic twists of elliptic curves with 3-Selmer rank 1. (English) Zbl 1297.14037 Int. J. Number Theory 10, No. 5, 1191-1217 (2014). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11G05 PDF BibTeX XML Cite \textit{Z. K. Li}, Int. J. Number Theory 10, No. 5, 1191--1217 (2014; Zbl 1297.14037) Full Text: DOI arXiv
Delaunay, Christophe; Jouhet, Frédéric The Cohen-Lenstra heuristics, moments and \(p^j\)-ranks of some groups. (English) Zbl 1306.11088 Acta Arith. 164, No. 3, 245-263 (2014). Reviewer: Fumio Hazama (Hatoyama) MSC: 11R29 11G05 PDF BibTeX XML Cite \textit{C. Delaunay} and \textit{F. Jouhet}, Acta Arith. 164, No. 3, 245--263 (2014; Zbl 1306.11088) Full Text: DOI arXiv
González-Jiménez, Enrique; Xarles, Xavier On a conjecture of Rudin on squares in arithmetic progressions. (English) Zbl 1314.11059 LMS J. Comput. Math. 17, 58-76 (2014). Reviewer: Sungkon Chang (Savannah) MSC: 11N13 11G30 11B25 11D45 14H25 PDF BibTeX XML Cite \textit{E. González-Jiménez} and \textit{X. Xarles}, LMS J. Comput. Math. 17, 58--76 (2014; Zbl 1314.11059) Full Text: DOI arXiv
Pal, Aprameyo Functional equation of characteristic elements of Abelian varieties over function fields \((\ell \neq p)\). (English) Zbl 1295.11122 Int. J. Number Theory 10, No. 3, 705-735 (2014). Reviewer: Andrea Bandini (Parma) MSC: 11R23 11G05 11G40 11M38 PDF BibTeX XML Cite \textit{A. Pal}, Int. J. Number Theory 10, No. 3, 705--735 (2014; Zbl 1295.11122) Full Text: DOI
Lim, Meng Fai; Murty, V. Kumar The growth of the Selmer group of an elliptic curve with split multiplicative reduction. (English) Zbl 1295.11062 Int. J. Number Theory 10, No. 3, 675-687 (2014). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G05 11R23 11R34 PDF BibTeX XML Cite \textit{M. F. Lim} and \textit{V. K. Murty}, Int. J. Number Theory 10, No. 3, 675--687 (2014; Zbl 1295.11062) Full Text: DOI
Skinner, Christopher; Urban, Eric The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\). (English) Zbl 1301.11074 Invent. Math. 195, No. 1, 1-277 (2014). Reviewer: Wei Feng (Beijing) MSC: 11R23 11F85 11G05 11F80 11F33 PDF BibTeX XML Cite \textit{C. Skinner} and \textit{E. Urban}, Invent. Math. 195, No. 1, 1--277 (2014; Zbl 1301.11074) Full Text: DOI
Bruin, Nils Success and challenges in determining the rational points on curves. (English) Zbl 1344.11048 Howe, Everett W. (ed.) et al., ANTS X. Proceedings of the tenth algorithmic number theory symposium, San Diego, CA, USA, July 9–13, 2012. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-00-2/hbk; 978-1-935107-01-9/ebook). The Open Book Series 1, 187-212 (2013). MSC: 11G30 11D45 14H45 11G10 PDF BibTeX XML Cite \textit{N. Bruin}, Open Book Ser. 1, 187--212 (2013; Zbl 1344.11048)
Urban, Eric On the rank of Selmer groups for elliptic curves over \(\mathbb Q\). (English) Zbl 1371.11094 Prasad, D. (ed.) et al., Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 22, 651-680 (2013). MSC: 11F67 11F70 11G05 PDF BibTeX XML Cite \textit{E. Urban}, in: Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3--11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research. 651--680 (2013; Zbl 1371.11094)
Bhargava, Manjul; Gross, Benedict H. The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point. (English) Zbl 1303.11072 Prasad, D. (ed.) et al., Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 22, 23-91 (2013). MSC: 11G30 11G05 14H55 14H40 PDF BibTeX XML Cite \textit{M. Bhargava} and \textit{B. H. Gross}, in: Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3--11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research. 23--91 (2013; Zbl 1303.11072) Full Text: arXiv
Li, Xiumei On the Selmer groups and Mordell-Weil groups of elliptic curves \(y^2 = x(x \pm p)(x \pm q)\) over imaginary quadratic number fields of class number one. (English) Zbl 1299.11046 Adv. Math., Beijing 42, No. 3, 302-314 (2013). MSC: 11G05 14H52 PDF BibTeX XML Cite \textit{X. Li}, Adv. Math., Beijing 42, No. 3, 302--314 (2013; Zbl 1299.11046) Full Text: arXiv
Poonen, Bjorn Average rank of elliptic curves [after Manjul Bhargava and Arul Shankar]. (English) Zbl 1295.11065 Séminaire Bourbaki. Volume 2011/2012. Exposés 1043–1058. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-371-3/pbk). Astérisque 352, 187-204, Exp. No. 1049 (2013). Reviewer: Amos Turchet (Gothenburg) MSC: 11G05 14H52 11G40 PDF BibTeX XML Cite \textit{B. Poonen}, Astérisque 352, 187--204, Exp. No. 1049 (2013; Zbl 1295.11065) Full Text: arXiv
Kim, Byoung Du The plus/minus Selmer groups for supersingular primes. (English) Zbl 1291.11094 J. Aust. Math. Soc. 95, No. 2, 189-200 (2013). Reviewer: Lawrence C. Washington (College Park) MSC: 11G05 11G07 11R23 11R34 PDF BibTeX XML Cite \textit{B. D. Kim}, J. Aust. Math. Soc. 95, No. 2, 189--200 (2013; Zbl 1291.11094) Full Text: DOI
Bartel, Alex Elliptic curves with \(p\)-Selmer growth for all \(p\). (English) Zbl 1290.11090 Q. J. Math. 64, No. 4, 947-954 (2013). Reviewer: Filip Najman (Zagreb) MSC: 11G05 11R23 11R34 PDF BibTeX XML Cite \textit{A. Bartel}, Q. J. Math. 64, No. 4, 947--954 (2013; Zbl 1290.11090) Full Text: DOI arXiv
Longo, Matteo; Rotger, Victor; Vigni, Stefano Special values of \(L\)-functions and the arithmetic of Darmon points. (English) Zbl 1312.11051 J. Reine Angew. Math. 684, 199-244 (2013). Reviewer: Xiao Xiao (Utica) MSC: 11G18 11G40 11F67 PDF BibTeX XML Cite \textit{M. Longo} et al., J. Reine Angew. Math. 684, 199--244 (2013; Zbl 1312.11051) Full Text: DOI arXiv
Kane, Daniel M. On the ranks of the 2-Selmer groups of twists of a given elliptic curve. (English) Zbl 1300.11061 Algebra Number Theory 7, No. 5, 1253-1279 (2013). MSC: 11G05 PDF BibTeX XML Cite \textit{D. M. Kane}, Algebra Number Theory 7, No. 5, 1253--1279 (2013; Zbl 1300.11061) Full Text: DOI arXiv
Sprung, Florian The Šafarevič-Tate group in cyclotomic \(\mathbb Z_p\)-extensions at supersingular primes. (English) Zbl 1288.11060 J. Reine Angew. Math. 681, 199-218 (2013). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11G05 11R23 PDF BibTeX XML Cite \textit{F. Sprung}, J. Reine Angew. Math. 681, 199--218 (2013; Zbl 1288.11060) Full Text: DOI arXiv
Fisher, Tom Invariant theory for the elliptic normal quintic. I: Twists of \(X(5)\). (English) Zbl 1304.11045 Math. Ann. 356, No. 2, 589-616 (2013). Reviewer: Andrea Bandini (Parma) MSC: 11G05 11Y40 13A50 14H25 PDF BibTeX XML Cite \textit{T. Fisher}, Math. Ann. 356, No. 2, 589--616 (2013; Zbl 1304.11045) Full Text: DOI arXiv
Pal, Aprameyo Functional equation of characteristic elements of abelian varieties over function fields. (English) Zbl 1308.11094 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). ii, 46 p. (2013). MSC: 11R23 11G10 11G05 PDF BibTeX XML Cite \textit{A. Pal}, Functional equation of characteristic elements of abelian varieties over function fields. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2013; Zbl 1308.11094) Full Text: Link
Çiperiani, Mirela; Stix, Jakob Weil-Châtelet divisible elements in Tate-Shafarevich groups. I: The Bashmakov problem for elliptic curves over \(\mathbb Q\). (English) Zbl 1300.11056 Compos. Math. 149, No. 5, 729-753 (2013). Reviewer: Davide Lombardo (Orsay) MSC: 11G05 11G10 11G35 PDF BibTeX XML Cite \textit{M. Çiperiani} and \textit{J. Stix}, Compos. Math. 149, No. 5, 729--753 (2013; Zbl 1300.11056) Full Text: DOI arXiv arXiv
Stoll, Michael; van Luijk, Ronald Explicit Selmer groups for cyclic covers of \(\mathbb {P}^1\). (English) Zbl 1316.11056 Acta Arith. 159, No. 2, 133-148 (2013). MSC: 11G30 11G10 14G25 14H30 14H40 PDF BibTeX XML Cite \textit{M. Stoll} and \textit{R. van Luijk}, Acta Arith. 159, No. 2, 133--148 (2013; Zbl 1316.11056) Full Text: DOI arXiv
Miller, Robert L.; Stoll, Michael Explicit isogeny descent on elliptic curves. (English) Zbl 1305.11052 Math. Comput. 82, No. 281, 513-529 (2013). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 14G05 14G25 14H52 PDF BibTeX XML Cite \textit{R. L. Miller} and \textit{M. Stoll}, Math. Comput. 82, No. 281, 513--529 (2013; Zbl 1305.11052) Full Text: DOI
Lee, Chern-Yang Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction. (English) Zbl 1287.11124 Math. Proc. Camb. Philos. Soc. 154, No. 2, 303-324 (2013). Reviewer: Andrea Bandini (Parma) MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{C.-Y. Lee}, Math. Proc. Camb. Philos. Soc. 154, No. 2, 303--324 (2013; Zbl 1287.11124) Full Text: DOI
Stoll, Michael Descent on elliptic curves. (English. French summary) Zbl 1300.11066 Belabas, Karim et al., Explicit methods in number theory. Rational points and Diophantine equations. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-359-1/pbk). Panoramas et Synthèses 36, 51-80 (2012). Reviewer: Remke Kloosterman (Berlin) MSC: 11G05 14G25 PDF BibTeX XML Cite \textit{M. Stoll}, Panor. Synth. 36, 51--80 (2012; Zbl 1300.11066) Full Text: arXiv
Klagsbrun, Zev Elliptic curves with a lower bound on 2-Selmer ranks of quadratic twists. (English) Zbl 1285.11085 Math. Res. Lett. 19, No. 5, 1137-1143 (2012). Reviewer: Andrea Bandini (Parma) MSC: 11G05 PDF BibTeX XML Cite \textit{Z. Klagsbrun}, Math. Res. Lett. 19, No. 5, 1137--1143 (2012; Zbl 1285.11085) Full Text: DOI arXiv
Fisher, Tom Some bounds on the coefficients of covering curves. (English) Zbl 1282.11059 Enseign. Math. (2) 58, No. 1-2, 99-124 (2012). Reviewer: Andrea Bandini (Parma) MSC: 11G05 14H30 PDF BibTeX XML Cite \textit{T. Fisher}, Enseign. Math. (2) 58, No. 1--2, 99--124 (2012; Zbl 1282.11059) Full Text: DOI
Gross, Benedict H. Hanoi lectures on the arithmetic of hyperelliptic curves. (English) Zbl 1294.11107 Acta Math. Vietnam. 37, No. 4, 579-588 (2012). Reviewer: Andrew Obus (Charlottesville) MSC: 11G30 14H25 PDF BibTeX XML Cite \textit{B. H. Gross}, Acta Math. Vietnam. 37, No. 4, 579--588 (2012; Zbl 1294.11107) Full Text: Link
Seveso, Marco Adamo The arithmetic theory of local constants for abelian varieties. (English) Zbl 1257.14032 Rend. Semin. Mat. Univ. Padova 127, 17-39 (2012). Reviewer: A. A. Actor (Fogelsville) MSC: 14K15 11G10 11G40 PDF BibTeX XML Cite \textit{M. A. Seveso}, Rend. Semin. Mat. Univ. Padova 127, 17--39 (2012; Zbl 1257.14032) Full Text: DOI Link
Jha, Somnath Fine Selmer group of Hida deformations over non-commutative \(p\)-adic Lie extensions. (English) Zbl 1253.11099 Asian J. Math. 16, No. 2, 353-366 (2012). Reviewer: Andrea Bandini (Parma) MSC: 11R23 11F33 11F80 11G05 14G05 PDF BibTeX XML Cite \textit{S. Jha}, Asian J. Math. 16, No. 2, 353--366 (2012; Zbl 1253.11099) Full Text: DOI Euclid
Coates, John H.; Sujatha, Ramdorai On the \(\mathfrak M_H(G)\)-conjecture. (English) Zbl 1278.11099 Coates, John (ed.) et al., Non-abelian fundamental groups and Iwasawa theory. Cambridge: Cambridge University Press (ISBN 978-1-107-64885-2/pbk). London Mathematical Society Lecture Note Series 393, 132-161 (2012). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R23 PDF BibTeX XML Cite \textit{J. H. Coates} and \textit{R. Sujatha}, Lond. Math. Soc. Lect. Note Ser. 393, 132--161 (2012; Zbl 1278.11099) Full Text: DOI
Flynn, E. Victor; Testa, Damiano; Van Luijk, Ronald Two-coverings of Jacobians of curves of genus 2. (English) Zbl 1235.14025 Proc. Lond. Math. Soc. (3) 104, No. 2, 387-429 (2012). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 14H30 11G30 11G10 14H40 PDF BibTeX XML Cite \textit{E. V. Flynn} et al., Proc. Lond. Math. Soc. (3) 104, No. 2, 387--429 (2012; Zbl 1235.14025) Full Text: DOI arXiv
Poonen, Bjorn; Rains, Eric Random maximal isotropic subspaces and Selmer groups. (English) Zbl 1294.11097 J. Am. Math. Soc. 25, No. 1, 245-269 (2012). Reviewer: Sungkon Chang (Savannah) MSC: 11G10 11G05 11G30 14G25 14K15 PDF BibTeX XML Cite \textit{B. Poonen} and \textit{E. Rains}, J. Am. Math. Soc. 25, No. 1, 245--269 (2012; Zbl 1294.11097) Full Text: DOI arXiv
Chenevier, Gaëtan On the infinite fern of Galois representations of unitary type. (Sur la fougère infinie des représentations galoisiennes de type unitaire.) (English. French summary) Zbl 1279.11056 Ann. Sci. Éc. Norm. Supér. (4) 44, No. 6, 963-1019 (2011). MSC: 11F80 11R33 12F10 PDF BibTeX XML Cite \textit{G. Chenevier}, Ann. Sci. Éc. Norm. Supér. (4) 44, No. 6, 963--1019 (2011; Zbl 1279.11056) Full Text: DOI Link
Hsieh, Ming-Lun Ordinary \(p\)-adic Eisenstein series and \(p\)-adic \(L\)-functions for unitary groups. (English. French summary) Zbl 1271.11051 Ann. Inst. Fourier 61, No. 3, 987-1059 (2011). MSC: 11F33 11F70 11R23 PDF BibTeX XML Cite \textit{M.-L. Hsieh}, Ann. Inst. Fourier 61, No. 3, 987--1059 (2011; Zbl 1271.11051) Full Text: DOI EuDML
Arnold, Trevor; Koo, Koopa Tak-Lun Change of Selmer group for big Galois representations and application to normalization. (English) Zbl 1253.11096 Doc. Math. 16, 885-899 (2011). Reviewer: Sarah Zerbes (London) MSC: 11R23 11R34 11F80 PDF BibTeX XML Cite \textit{T. Arnold} and \textit{K. T. L. Koo}, Doc. Math. 16, 885--899 (2011; Zbl 1253.11096) Full Text: EMIS
Zerbes, Sarah Livia Akashi series of Selmer groups. (English) Zbl 1241.11064 Math. Proc. Camb. Philos. Soc. 151, No. 2, 229-243 (2011). Reviewer: Gergely Zábrádi (Budapest) MSC: 11G05 11R23 PDF BibTeX XML Cite \textit{S. L. Zerbes}, Math. Proc. Camb. Philos. Soc. 151, No. 2, 229--243 (2011; Zbl 1241.11064) Full Text: DOI arXiv
Zhang, Lijun; Wang, Kunpeng; Wang, Hong; Ye, Dingfeng Another elliptic curve model for faster pairing computation. (English) Zbl 1305.94085 Bao, Feng (ed.) et al., Information security practice and experience. 7th international conference, ISPEC 2011, Guangzhou, China, May 30 – June 1, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-21030-3/pbk). Lecture Notes in Computer Science 6672, 432-446 (2011). MSC: 94A60 14G50 68W10 PDF BibTeX XML Cite \textit{L. Zhang} et al., Lect. Notes Comput. Sci. 6672, 432--446 (2011; Zbl 1305.94085) Full Text: DOI
Li, Fei; Qiu, Derong On several families of elliptic curves with arbitrary large Selmer groups. (English) Zbl 1239.11066 Sci. China, Math. 53, No. 9, 2329-2340 (2010). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G05 11G20 PDF BibTeX XML Cite \textit{F. Li} and \textit{D. Qiu}, Sci. China, Math. 53, No. 9, 2329--2340 (2010; Zbl 1239.11066) Full Text: DOI arXiv
Mazur, B.; Rubin, K. Ranks of twists of elliptic curves and Hilbert’s tenth problem. (English) Zbl 1227.11075 Invent. Math. 181, No. 3, 541-575 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{B. Mazur} and \textit{K. Rubin}, Invent. Math. 181, No. 3, 541--575 (2010; Zbl 1227.11075) Full Text: DOI arXiv
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai Root numbers, Selmer groups, and non-commutative Iwasawa theory. (English) Zbl 1213.11135 J. Algebr. Geom. 19, No. 1, 19-97 (2010). Reviewer: Jing Long Hoelscher (Chicago) MSC: 11G40 11R23 11G05 11G10 PDF BibTeX XML Cite \textit{J. Coates} et al., J. Algebr. Geom. 19, No. 1, 19--97 (2010; Zbl 1213.11135) Full Text: DOI
González-Avilés, Cristian D.; Tan, Ki-Seng The generalized Cassels-Tate dual exact sequence for 1-motives. (English) Zbl 1215.11064 Math. Res. Lett. 16, No. 5-6, 827-839 (2009). Reviewer: Martin Bright (Warwick) MSC: 11G35 11G05 11G10 14L15 14G25 14K15 PDF BibTeX XML Cite \textit{C. D. González-Avilés} and \textit{K.-S. Tan}, Math. Res. Lett. 16, No. 5--6, 827--839 (2009; Zbl 1215.11064) Full Text: DOI arXiv
Bellaïche, Joël; Chenevier, Gaëtan Families of Galois representations and Selmer groups. (English) Zbl 1192.11035 Astérisque 324. Paris: Société Mathématique de France (ISBN 978-2-85629-264-8/pbk). xii, 314 p. (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11F80 11-02 11F70 11F85 11G40 11S25 14F30 14G22 PDF BibTeX XML Cite \textit{J. Bellaïche} and \textit{G. Chenevier}, Families of Galois representations and Selmer groups. Paris: Société Mathématique de France (2009; Zbl 1192.11035) Full Text: Link