Achter, Jeffrey D.; Duan, Lian; Wang, Xiyuan On the essential torsion finiteness of abelian varieties over torsion fields. (English) Zbl 07812245 Nagoya Math. J. 253, 91-127 (2024). MSC: 14K15 11G10 11F80 14K22 PDFBibTeX XMLCite \textit{J. D. Achter} et al., Nagoya Math. J. 253, 91--127 (2024; Zbl 07812245) Full Text: DOI arXiv
Garnek, Jędrzej Products of hyperelliptic Jacobians with maximal Galois image. (English) Zbl 07810085 Proc. Am. Math. Soc. 152, No. 4, 1419-1435 (2024). MSC: 14H40 11F80 PDFBibTeX XMLCite \textit{J. Garnek}, Proc. Am. Math. Soc. 152, No. 4, 1419--1435 (2024; Zbl 07810085) Full Text: DOI arXiv
Lombardo, Davide; Verzobio, Matteo On the local-global principle for isogenies of abelian surfaces. (English) Zbl 07798904 Sel. Math., New Ser. 30, No. 2, Paper No. 18, 68 p. (2024). MSC: 11F80 20C33 14K15 11G10 PDFBibTeX XMLCite \textit{D. Lombardo} and \textit{M. Verzobio}, Sel. Math., New Ser. 30, No. 2, Paper No. 18, 68 p. (2024; Zbl 07798904) Full Text: DOI arXiv OA License
Fité, Francesc On a local-global principle for quadratic twists of abelian varieties. (English) Zbl 07796282 Math. Ann. 388, No. 1, 769-794 (2024). MSC: 11G10 14K15 14G10 PDFBibTeX XMLCite \textit{F. Fité}, Math. Ann. 388, No. 1, 769--794 (2024; Zbl 07796282) Full Text: DOI arXiv OA License
Fité, Francesc Ordinary primes for some varieties with extra endomorphisms. (English) Zbl 07787898 Publ. Mat., Barc. 68, No. 1, 27-40 (2024). MSC: 11G10 11R45 PDFBibTeX XMLCite \textit{F. Fité}, Publ. Mat., Barc. 68, No. 1, 27--40 (2024; Zbl 07787898) Full Text: DOI arXiv
Hui, Chun Yin Monodromy of four-dimensional irreducible compatible systems of \(\mathbb{Q}\). (English) Zbl 07738100 Bull. Lond. Math. Soc. 55, No. 4, 1773-1790 (2023). MSC: 11F80 11F70 11F22 20G05 PDFBibTeX XMLCite \textit{C. Y. Hui}, Bull. Lond. Math. Soc. 55, No. 4, 1773--1790 (2023; Zbl 07738100) Full Text: DOI arXiv OA License
Daniels, Harris B.; Lozano-Robledo, Álvaro; Morrow, Jackson S. Towards a classification of entanglements of Galois representations attached to elliptic curves. (English) Zbl 07714675 Rev. Mat. Iberoam. 39, No. 3, 803-844 (2023). Reviewer: Riccardo Pengo (Hannover) MSC: 11F80 14H10 11G05 PDFBibTeX XMLCite \textit{H. B. Daniels} et al., Rev. Mat. Iberoam. 39, No. 3, 803--844 (2023; Zbl 07714675) Full Text: DOI arXiv
Melninkas, Lukas On the root numbers of abelian varieties with real multiplication. (English) Zbl 1497.11160 Acta Arith. 203, No. 2, 137-163 (2022). Reviewer: Sungkon Chang (Savannah) MSC: 11G10 14K15 11F80 11G40 PDFBibTeX XMLCite \textit{L. Melninkas}, Acta Arith. 203, No. 2, 137--163 (2022; Zbl 1497.11160) Full Text: DOI arXiv
Fité, Francesc; Guitart, Xavier Tate module tensor decompositions and the Sato-Tate conjecture for certain abelian varieties potentially of \(\mathrm{GL}_2\)-type. (English) Zbl 1498.11148 Math. Z. 300, No. 3, 2975-2995 (2022). Reviewer: Asvin G (Madison) MSC: 11G10 14K15 PDFBibTeX XMLCite \textit{F. Fité} and \textit{X. Guitart}, Math. Z. 300, No. 3, 2975--2995 (2022; Zbl 1498.11148) Full Text: DOI arXiv
Jones, Nathan; McMurdy, Ken Elliptic curves with non-abelian entanglements. (English) Zbl 1497.11150 New York J. Math. 28, 182-229 (2022). MSC: 11G05 11F80 PDFBibTeX XMLCite \textit{N. Jones} and \textit{K. McMurdy}, New York J. Math. 28, 182--229 (2022; Zbl 1497.11150) Full Text: arXiv Link
Asif, Sualeh; Fité, Francesc; Pentland, Dylan Computing \(L\)-polynomials of Picard curves from Cartier-Manin matrices. (English) Zbl 1489.11136 Math. Comput. 91, No. 334, 943-971 (2022). MSC: 11M38 14G10 11Y16 11G40 PDFBibTeX XMLCite \textit{S. Asif} et al., Math. Comput. 91, No. 334, 943--971 (2022; Zbl 1489.11136) Full Text: DOI arXiv
Kuperberg, Greg; Samperton, Eric Coloring invariants of knots and links are often intractable. (English) Zbl 1491.20080 Algebr. Geom. Topol. 21, No. 3, 1479-1510 (2021). Reviewer: Timur Nasybullov (Novosibirsk) MSC: 20F10 57K10 68Q17 PDFBibTeX XMLCite \textit{G. Kuperberg} and \textit{E. Samperton}, Algebr. Geom. Topol. 21, No. 3, 1479--1510 (2021; Zbl 1491.20080) Full Text: DOI arXiv
Dogra, Netan; Le Fourn, Samuel Quadratic Chabauty for modular curves and modular forms of rank one. (English) Zbl 1472.11191 Math. Ann. 380, No. 1-2, 393-448 (2021). Reviewer: Lei Yang (Beijing) MSC: 11G18 14G05 11G30 PDFBibTeX XMLCite \textit{N. Dogra} and \textit{S. Le Fourn}, Math. Ann. 380, No. 1--2, 393--448 (2021; Zbl 1472.11191) Full Text: DOI arXiv
Cojocaru, Alina Carmen; Jones, Nathan Degree bounds for projective division fields associated to elliptic modules with a trivial endomorphism ring. (English. French summary) Zbl 1473.11120 J. Théor. Nombres Bordx. 33, No. 1, 95-106 (2021). MSC: 11G05 11G09 11F80 PDFBibTeX XMLCite \textit{A. C. Cojocaru} and \textit{N. Jones}, J. Théor. Nombres Bordx. 33, No. 1, 95--106 (2021; Zbl 1473.11120) Full Text: DOI arXiv
von Känel, Rafael The effective Shafarevich conjecture for abelian varieties of \(\mathrm{GL}_2\)-type. (English) Zbl 1473.11128 Forum Math. Sigma 9, Paper No. e39, 29 p. (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G10 11G50 14K15 14K02 PDFBibTeX XMLCite \textit{R. von Känel}, Forum Math. Sigma 9, Paper No. e39, 29 p. (2021; Zbl 1473.11128) Full Text: DOI
Goodman, Pip Restrictions on endomorphism rings of Jacobians and their minimal fields of definition. (English) Zbl 1470.14056 Trans. Am. Math. Soc. 374, No. 7, 4639-4654 (2021). Reviewer: Noriko Yui (Kingston) MSC: 14H40 11G10 14K15 PDFBibTeX XMLCite \textit{P. Goodman}, Trans. Am. Math. Soc. 374, No. 7, 4639--4654 (2021; Zbl 1470.14056) Full Text: DOI arXiv
Zarhin, Yuri G. On matrices of endomorphisms of abelian varieties. (English) Zbl 1489.14058 Math. Res. Rep. (Amst.) 1, 55-68 (2020). MSC: 14K05 16K20 PDFBibTeX XMLCite \textit{Y. G. Zarhin}, Math. Res. Rep. (Amst.) 1, 55--68 (2020; Zbl 1489.14058) Full Text: DOI arXiv
Jones, Nathan A bound for the conductor of an open subgroup of \(\mathrm{GL}_2\) associated to an elliptic curve. (English) Zbl 1465.11144 Pac. J. Math. 308, No. 2, 307-331 (2020). MSC: 11F80 11G05 PDFBibTeX XMLCite \textit{N. Jones}, Pac. J. Math. 308, No. 2, 307--331 (2020; Zbl 1465.11144) Full Text: DOI arXiv
Berger, Lisa; Hall, Chris; Pannekoek, René; Park, Jennifer; Pries, Rachel; Sharif, Shahed; Silverberg, Alice; Ulmer, Douglas Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields. (English) Zbl 1465.11002 Memoirs of the American Mathematical Society 1295. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4219-4/pbk; 978-1-4704-6253-6/ebook). v, 131 p. (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 11-02 11G05 11G40 11G30 14H05 PDFBibTeX XMLCite \textit{L. Berger} et al., Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1465.11002) Full Text: DOI arXiv
Lawrence, Brian; Venkatesh, Akshay Diophantine problems and \(p\)-adic period mappings. (English) Zbl 1455.11093 Invent. Math. 221, No. 3, 893-999 (2020). Reviewer: Evis Ieronymou (Nicosia) MSC: 11G35 11F80 11J89 14G05 PDFBibTeX XMLCite \textit{B. Lawrence} and \textit{A. Venkatesh}, Invent. Math. 221, No. 3, 893--999 (2020; Zbl 1455.11093) Full Text: DOI arXiv
Gillibert, Florence; Ranieri, Gabriele On local-global divisibility over \(\mathrm{GL}_2\)-type varieties. (English) Zbl 1450.11119 Acta Arith. 193, No. 4, 339-354 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R34 11G10 PDFBibTeX XMLCite \textit{F. Gillibert} and \textit{G. Ranieri}, Acta Arith. 193, No. 4, 339--354 (2020; Zbl 1450.11119) Full Text: DOI arXiv
Suh, Junecue Ordinary primes in Hilbert modular varieties. (English) Zbl 1439.11124 Compos. Math. 156, No. 4, 647-678 (2020). Reviewer: Lei Yang (Beijing) MSC: 11F41 14G35 11F30 11G18 PDFBibTeX XMLCite \textit{J. Suh}, Compos. Math. 156, No. 4, 647--678 (2020; Zbl 1439.11124) Full Text: DOI
Hui, Chun Yin The abelian part of a compatible system and \(\ell \)-independence of the Tate conjecture. (English) Zbl 1472.11168 Manuscr. Math. 161, No. 1-2, 223-246 (2020). MSC: 11F80 14F20 20G30 14C15 17B20 PDFBibTeX XMLCite \textit{C. Y. Hui}, Manuscr. Math. 161, No. 1--2, 223--246 (2020; Zbl 1472.11168) Full Text: DOI arXiv
Commelin, Johan M. On compatibility of the \(\ell\)-adic realisations of an abelian motive. (Sur la compatibilité des réalisations \(\ell\)-adiques d’un motif abélien.) (English. French summary) Zbl 1442.14070 Ann. Inst. Fourier 69, No. 5, 2089-2120 (2019). MSC: 14F20 PDFBibTeX XMLCite \textit{J. M. Commelin}, Ann. Inst. Fourier 69, No. 5, 2089--2120 (2019; Zbl 1442.14070) Full Text: DOI arXiv
Landesman, Aaron; Swaminathan, Ashvin; Tao, James; Xu, Yujie Surjectivity of Galois representations in rational families of abelian varieties. (English) Zbl 1472.11169 Algebra Number Theory 13, No. 5, 995-1038 (2019). MSC: 11F80 11G10 11G30 11N36 11R32 12E25 PDFBibTeX XMLCite \textit{A. Landesman} et al., Algebra Number Theory 13, No. 5, 995--1038 (2019; Zbl 1472.11169) Full Text: DOI arXiv
Morrow, Jackson S. Composite images of Galois for elliptic curves over \(\mathbb {Q}\) and entanglement fields. (English) Zbl 1470.11154 Math. Comput. 88, No. 319, 2389-2421 (2019). MSC: 11G05 11D45 11G18 11F80 PDFBibTeX XMLCite \textit{J. S. Morrow}, Math. Comput. 88, No. 319, 2389--2421 (2019; Zbl 1470.11154) Full Text: DOI arXiv
Perret-Gentil, Corentin Distribution questions for trace functions with values in cyclotomic integers and their reductions. (English) Zbl 1444.11162 Trans. Am. Math. Soc. 371, No. 7, 4585-4629 (2019). MSC: 11L05 11T24 11N64 14F20 60G50 PDFBibTeX XMLCite \textit{C. Perret-Gentil}, Trans. Am. Math. Soc. 371, No. 7, 4585--4629 (2019; Zbl 1444.11162) Full Text: DOI arXiv
Yoo, Hwajong Non-optimal levels of a reducible mod \(\ell \) modular representation. (English) Zbl 1444.11080 Trans. Am. Math. Soc. 371, No. 6, 3805-3830 (2019). MSC: 11F33 11F80 11G18 PDFBibTeX XMLCite \textit{H. Yoo}, Trans. Am. Math. Soc. 371, No. 6, 3805--3830 (2019; Zbl 1444.11080) Full Text: DOI arXiv
Zarhin, Yuri G. Endomorphism algebras of abelian varieties with special reference to superelliptic Jacobians. (English) Zbl 1475.14055 Akbary, Amir (ed.) et al., Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer. Springer Proc. Math. Stat. 251, 477-528 (2018). MSC: 14H40 14K05 11G30 11G10 14-02 PDFBibTeX XMLCite \textit{Y. G. Zarhin}, Springer Proc. Math. Stat. 251, 477--528 (2018; Zbl 1475.14055) Full Text: DOI arXiv
Billerey, Nicolas; Nuccio Mortarino Majno Di Capriglio, Filippo A. E. Dihedral Galois representations and forms with complex multiplication. (Représentations galoisiennes diédrales et formes à multiplication complexe.) (French. English summary) Zbl 1441.11132 J. Théor. Nombres Bordx. 30, No. 2, 651-670 (2018). MSC: 11F80 11R37 PDFBibTeX XMLCite \textit{N. Billerey} and \textit{F. A. E. Nuccio Mortarino Majno Di Capriglio}, J. Théor. Nombres Bordx. 30, No. 2, 651--670 (2018; Zbl 1441.11132) Full Text: DOI arXiv
Guitart, Xavier; Masdeu, Marc Periods of modular \(\mathrm{GL}_2\)-type abelian varieties and \(p\)-adic integration. (English) Zbl 1443.11125 Exp. Math. 27, No. 3, 344-361 (2018). MSC: 11G40 11F41 11Y99 PDFBibTeX XMLCite \textit{X. Guitart} and \textit{M. Masdeu}, Exp. Math. 27, No. 3, 344--361 (2018; Zbl 1443.11125) Full Text: DOI arXiv
Murty, V. Kumar Arithmetic twists and abelian extensions. (English) Zbl 1440.11055 Lario, Joan-Carles (ed.) et al., Number theory related to modular curves: Momose memorial volume. Proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar in memory of Fumiyuki Momose, Barcelona, Spain, May 21–23, 2012. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 701, 167-191 (2018). MSC: 11F11 11F80 11R11 11R29 14K15 PDFBibTeX XMLCite \textit{V. K. Murty}, Contemp. Math. 701, 167--191 (2018; Zbl 1440.11055) Full Text: DOI
Centeleghe, Tommaso Giorgio; Theisen, Christian Integral Frobenius for abelian varieties with real multiplication. (English) Zbl 1425.11122 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 147-175 (2017). MSC: 11G10 PDFBibTeX XMLCite \textit{T. G. Centeleghe} and \textit{C. Theisen}, in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 147--175 (2017; Zbl 1425.11122) Full Text: DOI arXiv
Billerey, Nicolas; Chen, Imin; Dieulefait, Luis; Freitas, Nuno A result on the equation \(x^p + y^p = z^r\) using Frey abelian varieties. (English) Zbl 1421.11026 Proc. Am. Math. Soc. 145, No. 10, 4111-4117 (2017). MSC: 11D41 11G10 PDFBibTeX XMLCite \textit{N. Billerey} et al., Proc. Am. Math. Soc. 145, No. 10, 4111--4117 (2017; Zbl 1421.11026) Full Text: DOI arXiv
Lombardo, Davide Pink-type results for general subgroups of \(\mathrm{SL}_2(\mathbb{Z}_\ell)^n\). (English. French summary) Zbl 1431.20026 J. Théor. Nombres Bordx. 29, No. 1, 85-127 (2017). MSC: 20F40 11E57 11E95 20G25 11F80 PDFBibTeX XMLCite \textit{D. Lombardo}, J. Théor. Nombres Bordx. 29, No. 1, 85--127 (2017; Zbl 1431.20026) Full Text: DOI arXiv
Gillibert, Florence; Ranieri, Gabriele On the local-global divisibility of torsion points on elliptic curves and \(\operatorname{GL}_{2}\)-type varieties. (English) Zbl 1356.11081 J. Number Theory 174, 202-220 (2017). Reviewer: Noburo Ishii (Kyoto) MSC: 11R34 11G05 11G10 PDFBibTeX XMLCite \textit{F. Gillibert} and \textit{G. Ranieri}, J. Number Theory 174, 202--220 (2017; Zbl 1356.11081) Full Text: DOI arXiv
Hui, Chun Yin; Larsen, Michael Type A images of Galois representations and maximality. (English) Zbl 1402.11081 Math. Z. 284, No. 3-4, 989-1003 (2016). MSC: 11F80 14F20 PDFBibTeX XMLCite \textit{C. Y. Hui} and \textit{M. Larsen}, Math. Z. 284, No. 3--4, 989--1003 (2016; Zbl 1402.11081) Full Text: DOI arXiv
Daniels, Harris B.; Hatley, Jeffrey; Ricci, James Elliptic curves with maximally disjoint division fields. (English) Zbl 1361.14024 Acta Arith. 175, No. 3, 211-223 (2016). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 14H52 11F80 11G05 11G07 PDFBibTeX XMLCite \textit{H. B. Daniels} et al., Acta Arith. 175, No. 3, 211--223 (2016; Zbl 1361.14024) Full Text: DOI arXiv
Lombardo, Davide On the \(\ell\)-adic Galois representations attached to nonsimple abelian varieties. (Sur les représentations galoisiennes associées aux variétés abéliennes non simples.) (English. French summary) Zbl 1390.11092 Ann. Inst. Fourier 66, No. 3, 1217-1245 (2016). Reviewer: Herbert Lange (Erlangen) MSC: 11G10 14K15 11F80 PDFBibTeX XMLCite \textit{D. Lombardo}, Ann. Inst. Fourier 66, No. 3, 1217--1245 (2016; Zbl 1390.11092) Full Text: DOI arXiv
Lombardo, Davide An explicit open image theorem for products of elliptic curves. (English) Zbl 1396.11085 J. Number Theory 168, 386-412 (2016). MSC: 11F80 11G05 14K15 11G10 PDFBibTeX XMLCite \textit{D. Lombardo}, J. Number Theory 168, 386--412 (2016; Zbl 1396.11085) Full Text: DOI arXiv
Lombardo, Davide Explicit surjectivity of Galois representations for abelian surfaces and \(\operatorname{GL}_{2}\)-varieties. (English) Zbl 1343.11058 J. Algebra 460, 26-59 (2016). Reviewer: Remke Kloosterman (Padova) MSC: 11G10 14K15 11F80 PDFBibTeX XMLCite \textit{D. Lombardo}, J. Algebra 460, 26--59 (2016; Zbl 1343.11058) Full Text: DOI arXiv
Patrikis, Stefan Mumford-Tate groups of polarizable Hodge structures. (English) Zbl 1344.14009 Proc. Am. Math. Soc. 144, No. 9, 3717-3729 (2016). Reviewer: Alberto Collino (Torino) MSC: 14C30 14D07 PDFBibTeX XMLCite \textit{S. Patrikis}, Proc. Am. Math. Soc. 144, No. 9, 3717--3729 (2016; Zbl 1344.14009) Full Text: DOI arXiv
Newton, Rachel Transcendental Brauer groups of products of CM elliptic curves. (English) Zbl 1398.14028 J. Lond. Math. Soc., II. Ser. 93, No. 2, 397-419 (2016). MSC: 14F22 11G05 14G25 14J28 14K15 PDFBibTeX XMLCite \textit{R. Newton}, J. Lond. Math. Soc., II. Ser. 93, No. 2, 397--419 (2016; Zbl 1398.14028) Full Text: DOI arXiv Link
Brau, Julio; Jones, Nathan Elliptic curves with 2-torsion contained in the 3-torsion field. (English) Zbl 1333.11050 Proc. Am. Math. Soc. 144, No. 3, 925-936 (2016). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 PDFBibTeX XMLCite \textit{J. Brau} and \textit{N. Jones}, Proc. Am. Math. Soc. 144, No. 3, 925--936 (2016; Zbl 1333.11050) Full Text: DOI arXiv
Yoo, Hwajong Rational torsion points on Jacobians of Shimura curves. (English) Zbl 1410.14021 Bull. Lond. Math. Soc. 48, No. 1, 163-171 (2016). MSC: 14G05 11G10 11G18 14G35 14H40 PDFBibTeX XMLCite \textit{H. Yoo}, Bull. Lond. Math. Soc. 48, No. 1, 163--171 (2016; Zbl 1410.14021) Full Text: DOI arXiv
Yu, Chia-Fu A note on the Mumford-Tate conjecture for CM abelian varieties. (English) Zbl 1357.11060 Taiwanese J. Math. 19, No. 4, 1073-1084 (2015). MSC: 11G15 14K22 PDFBibTeX XMLCite \textit{C.-F. Yu}, Taiwanese J. Math. 19, No. 4, 1073--1084 (2015; Zbl 1357.11060) Full Text: DOI arXiv
Dimabayao, Jerome Tomagan On the cohomological coprimality of Galois representations associated with elliptic curves. (English) Zbl 1385.11036 Proc. Japan Acad., Ser. A 91, No. 10, 141-146 (2015). MSC: 11F80 11G05 PDFBibTeX XMLCite \textit{J. T. Dimabayao}, Proc. Japan Acad., Ser. A 91, No. 10, 141--146 (2015; Zbl 1385.11036) Full Text: DOI Euclid
Bauer, Kristine; Sen, Debasis; Zvengrowski, Peter A generalized Goursat lemma. (English) Zbl 1396.20027 Tatra Mt. Math. Publ. 64, 1-19 (2015). MSC: 20E07 20E34 20E22 PDFBibTeX XMLCite \textit{K. Bauer} et al., Tatra Mt. Math. Publ. 64, 1--19 (2015; Zbl 1396.20027) Full Text: DOI arXiv
Zarhin, Yuri G. Eigenvalues of Frobenius endomorphisms of abelian varieties of low dimension. (English) Zbl 1397.11115 J. Pure Appl. Algebra 219, No. 6, 2076-2098 (2015). MSC: 11G25 11G10 PDFBibTeX XMLCite \textit{Y. G. Zarhin}, J. Pure Appl. Algebra 219, No. 6, 2076--2098 (2015; Zbl 1397.11115) Full Text: DOI arXiv
Zhao, Bin Local indecomposability of Hilbert modular Galois representations. (Indécomposabilité locale des représentations modulaires galoisiennes de Hilbert.) (English. French summary) Zbl 1306.11046 Ann. Inst. Fourier 64, No. 4, 1521-1560 (2014). Reviewer: Davide Lombardo (Orsay) MSC: 11F80 11G18 14K15 14G35 PDFBibTeX XMLCite \textit{B. Zhao}, Ann. Inst. Fourier 64, No. 4, 1521--1560 (2014; Zbl 1306.11046) Full Text: DOI arXiv Link
Gamzon, Adam Local torsion on abelian surfaces with real multiplication by \(\mathbb Q(\sqrt{5})\). (English) Zbl 1318.11079 Int. J. Number Theory 10, No. 7, 1807-1827 (2014). Reviewer: Xiao Xiao (Utica) MSC: 11G10 14K15 14G20 PDFBibTeX XMLCite \textit{A. Gamzon}, Int. J. Number Theory 10, No. 7, 1807--1827 (2014; Zbl 1318.11079) Full Text: DOI arXiv
Brumer, Armand; Kramer, Kenneth Paramodular abelian varieties of odd conductor. (English) Zbl 1285.11087 Trans. Am. Math. Soc. 366, No. 5, 2463-2516 (2014); corrigendum ibid. 372, No. 3, 2251-2254 (2019). MSC: 11G10 14K15 11F46 PDFBibTeX XMLCite \textit{A. Brumer} and \textit{K. Kramer}, Trans. Am. Math. Soc. 366, No. 5, 2463--2516 (2014; Zbl 1285.11087) Full Text: DOI arXiv
Burciu, Sebastian Normal Hopf subalgebras of semisimple Drinfeld doubles. (English) Zbl 1290.16027 J. Pure Appl. Algebra 218, No. 3, 540-552 (2014). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{S. Burciu}, J. Pure Appl. Algebra 218, No. 3, 540--552 (2014; Zbl 1290.16027) Full Text: DOI arXiv
Jones, Nathan Pairs of elliptic curves with maximal Galois representations. (English) Zbl 1295.11061 J. Number Theory 133, No. 10, 3381-3393 (2013). MSC: 11G05 11N35 11F80 PDFBibTeX XMLCite \textit{N. Jones}, J. Number Theory 133, No. 10, 3381--3393 (2013; Zbl 1295.11061) Full Text: DOI
Ozeki, Yoshiyasu Non-existence of certain CM abelian varieties with prime power torsion. (English) Zbl 1290.11096 Tohoku Math. J. (2) 65, No. 3, 357-371 (2013). MSC: 11G10 14K22 PDFBibTeX XMLCite \textit{Y. Ozeki}, Tôhoku Math. J. (2) 65, No. 3, 357--371 (2013; Zbl 1290.11096) Full Text: DOI arXiv Euclid
Monks, Keenan; Peluse, Sarah; Ye, Lynnelle Congruence properties of Borcherds product exponents. (English) Zbl 1318.11064 Int. J. Number Theory 9, No. 6, 1563-1578 (2013). MSC: 11F33 PDFBibTeX XMLCite \textit{K. Monks} et al., Int. J. Number Theory 9, No. 6, 1563--1578 (2013; Zbl 1318.11064) Full Text: DOI arXiv
Hida, Haruzo Local indecomposability of Tate modules of non-CM abelian varieties with real multiplication. (English) Zbl 1284.14033 J. Am. Math. Soc. 26, No. 3, 853-877 (2013). Reviewer: Salman Abdulali (Greenville) MSC: 14G35 11G18 11F80 14K15 PDFBibTeX XMLCite \textit{H. Hida}, J. Am. Math. Soc. 26, No. 3, 853--877 (2013; Zbl 1284.14033) Full Text: DOI
Dummigan, Neil; Krishnamoorthy, Srilakshmi Powers of 2 in modular degrees of modular abelian varieties. (English) Zbl 1321.11058 J. Number Theory 133, No. 2, 501-522 (2013). MSC: 11F80 11G10 PDFBibTeX XMLCite \textit{N. Dummigan} and \textit{S. Krishnamoorthy}, J. Number Theory 133, No. 2, 501--522 (2013; Zbl 1321.11058) Full Text: DOI arXiv
Achter, Jeffrey D. Explicit bounds for split reductions of simple abelian varieties. (English. French summary) Zbl 1300.11067 J. Théor. Nombres Bordx. 24, No. 1, 41-55 (2012). MSC: 11G10 11G15 14K15 PDFBibTeX XMLCite \textit{J. D. Achter}, J. Théor. Nombres Bordx. 24, No. 1, 41--55 (2012; Zbl 1300.11067) Full Text: DOI Numdam
Hindry, Marc; Ratazzi, Nicolas Torsion points on abelian varieties of type \(\mathrm{GSp}\). (Points de torsion sur les variétés abéliennes de type \(\mathrm{GSp}\).) (French) Zbl 1311.11050 J. Inst. Math. Jussieu 11, No. 1, 27-65 (2012). Reviewer: Patrice Philippon (Paris) MSC: 11G10 11J95 14K15 11F80 PDFBibTeX XMLCite \textit{M. Hindry} and \textit{N. Ratazzi}, J. Inst. Math. Jussieu 11, No. 1, 27--65 (2012; Zbl 1311.11050) Full Text: DOI arXiv
Nualart, Joan Minimal lifts of dihedral 2-dimensional Galois representations. (English) Zbl 1343.11056 Bull. Braz. Math. Soc. (N.S.) 42, No. 3, 359-371 (2011). MSC: 11F80 11F11 PDFBibTeX XMLCite \textit{J. Nualart}, Bull. Braz. Math. Soc. (N.S.) 42, No. 3, 359--371 (2011; Zbl 1343.11056) Full Text: DOI
Xue, Jiangwei Endomorphism algebras of Jacobians of certain superelliptic curves. (English) Zbl 1218.11067 J. Number Theory 131, No. 2, 332-342 (2011). Reviewer: Cristian D. Gonzales-Aviles (La Serena) MSC: 11G30 11G35 11G10 PDFBibTeX XMLCite \textit{J. Xue}, J. Number Theory 131, No. 2, 332--342 (2011; Zbl 1218.11067) Full Text: DOI arXiv
Xue, Jiangwei; Zarhin, Yuri G. Centers of Hodge groups of superelliptic Jacobians. (English) Zbl 1198.14030 Transform. Groups 15, No. 2, 449-482 (2010). Reviewer: Cristiana Bertolin (Padova) MSC: 14H52 14H40 11G05 PDFBibTeX XMLCite \textit{J. Xue} and \textit{Y. G. Zarhin}, Transform. Groups 15, No. 2, 449--482 (2010; Zbl 1198.14030) Full Text: DOI arXiv
Banaszak, Grzegorz; Gajda, Wojciech; Krasoń, Piotr On the image of Galois \(l\)-adic representations for abelian varieties of type III. (English) Zbl 1202.14042 Tohoku Math. J. (2) 62, No. 2, 163-189 (2010). Reviewer: Alan Koch (Decatur) MSC: 14K15 17B45 PDFBibTeX XMLCite \textit{G. Banaszak} et al., Tôhoku Math. J. (2) 62, No. 2, 163--189 (2010; Zbl 1202.14042) Full Text: DOI
Zarhin, Yu. G. Absolutely simple prymians of trigonal curves. (English. Russian original) Zbl 1312.14102 Proc. Steklov Inst. Math. 264, 204-215 (2009); translation from Tr. Mat. Inst. Steklova 264, 212-223 (2009). MSC: 14K05 14H40 11G10 PDFBibTeX XMLCite \textit{Yu. G. Zarhin}, Proc. Steklov Inst. Math. 264, 204--215 (2009; Zbl 1312.14102); translation from Tr. Mat. Inst. Steklova 264, 212--223 (2009) Full Text: DOI arXiv
Zarhin, Yuri G. Endomorphisms of superelliptic Jacobians. (English) Zbl 1166.14022 Math. Z. 261, No. 3, 691-707 (2009); erratum ibid. 261, No. 3, 709 (2009). Reviewer: Isidro Nieto Baños (Guanajuato) MSC: 14H40 14K05 11G30 11G10 PDFBibTeX XMLCite \textit{Y. G. Zarhin}, Math. Z. 261, No. 3, 691--707 (2009; Zbl 1166.14022) Full Text: DOI arXiv
Yamauchi, Takuya \(\mathbb Q\)-motives and modular forms. (English) Zbl 1179.11017 J. Number Theory 128, No. 6, 1485-1505 (2008). Reviewer: Takao Yamazaki (Tohoku) MSC: 11G18 14G35 PDFBibTeX XMLCite \textit{T. Yamauchi}, J. Number Theory 128, No. 6, 1485--1505 (2008; Zbl 1179.11017) Full Text: DOI
Hall, Chris Big symplectic or orthogonal monodromy modulo \(\ell\). (English) Zbl 1205.11062 Duke Math. J. 141, No. 1, 179-203 (2008). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11G05 11G10 12F12 14D05 14H40 14J27 14K15 PDFBibTeX XMLCite \textit{C. Hall}, Duke Math. J. 141, No. 1, 179--203 (2008; Zbl 1205.11062) Full Text: DOI arXiv
Naumann, N. Algebraic independence in the Grothendieck ring of varieties. (English) Zbl 1115.14004 Trans. Am. Math. Soc. 359, No. 4, 1653-1683 (2007). Reviewer: Bernhard Köck (Southampton) MSC: 14C35 14A10 14F42 14G10 11G25 PDFBibTeX XMLCite \textit{N. Naumann}, Trans. Am. Math. Soc. 359, No. 4, 1653--1683 (2007; Zbl 1115.14004) Full Text: DOI arXiv
Zarhin, Yuri G. Non-isogenous superelliptic Jacobians. (English) Zbl 1102.14020 Math. Z. 253, No. 3, 537-554 (2006). Reviewer: Amilcar Pacheco (Rio de Janeiro) MSC: 14H40 14K02 11G30 PDFBibTeX XMLCite \textit{Y. G. Zarhin}, Math. Z. 253, No. 3, 537--554 (2006; Zbl 1102.14020) Full Text: DOI arXiv
Geyer, Wulf-Dieter; Jarden, Moshe Torsion of Abelian varieties over large algebraic fields. (English) Zbl 1088.12001 Finite Fields Appl. 11, No. 1, 123-150 (2005). Reviewer: John N. Mordeson (Omaha) MSC: 12E30 11G10 14K15 PDFBibTeX XMLCite \textit{W.-D. Geyer} and \textit{M. Jarden}, Finite Fields Appl. 11, No. 1, 123--150 (2005; Zbl 1088.12001) Full Text: DOI
Howard, Benjamin Iwasawa theory of Heegner points on abelian varieties of \(\text{GL}_2\) type. (English) Zbl 1068.11071 Duke Math. J. 124, No. 1, 1-45 (2004). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11G05 11G10 PDFBibTeX XMLCite \textit{B. Howard}, Duke Math. J. 124, No. 1, 1--45 (2004; Zbl 1068.11071) Full Text: DOI arXiv
Khare, Chandrashekhar [Böckle, Gebhard] On isomorphisms between deformation rings and Hecke rings (with an Appendix by Gebhard Böckle). (English) Zbl 1042.11031 Invent. Math. 154, No. 1, 199-222 (2003). Reviewer: A. Dabrowski (Szczecin) MSC: 11F80 11F33 PDFBibTeX XMLCite \textit{C. Khare}, Invent. Math. 154, No. 1, 199--222 (2003; Zbl 1042.11031) Full Text: DOI arXiv
Banaszak, G.; Gajda, W.; Krasoń, P. Support problem for the intermediate Jacobians of \(l\)-adic representations. (English) Zbl 1088.11040 J. Number Theory 100, No. 1, 133-168 (2003). MSC: 11R34 11F80 11G10 11G15 PDFBibTeX XMLCite \textit{G. Banaszak} et al., J. Number Theory 100, No. 1, 133--168 (2003; Zbl 1088.11040) Full Text: DOI arXiv
Banaszak, G.; Gajda, W.; Krasoń, P. On Galois representations for abelian varieties with complex and real multiplications. (English) Zbl 1056.11034 J. Number Theory 100, No. 1, 117-132 (2003). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G10 11G15 11R34 PDFBibTeX XMLCite \textit{G. Banaszak} et al., J. Number Theory 100, No. 1, 117--132 (2003; Zbl 1056.11034) Full Text: DOI
Le Duff, Pierre Galois representations associated to the points of order \(\ell\) of the Jacobians of special curves of genus 2. (Représentations galoisiennes associées aux points d’ordre \(\ell\) des jacobiennes de certaines courbes de genre 2.) (French) Zbl 0946.14016 Bull. Soc. Math. Fr. 126, No. 4, 507-524 (1998). MSC: 14H40 14G15 14G05 14G32 PDFBibTeX XMLCite \textit{P. Le Duff}, Bull. Soc. Math. Fr. 126, No. 4, 507--524 (1998; Zbl 0946.14016) Full Text: DOI Numdam EuDML Link
Chavdarov, Nick The generic irreducibility of the numerator of the zeta function in a family of curves with large monodromy. (English) Zbl 0941.14006 Duke Math. J. 87, No. 1, 151-180 (1997). Reviewer: J. Vernon Armitage (Durham) MSC: 14G10 14G15 11G40 PDFBibTeX XMLCite \textit{N. Chavdarov}, Duke Math. J. 87, No. 1, 151--180 (1997; Zbl 0941.14006) Full Text: DOI
Tamagawa, Akio The Eisenstein quotient of the Jacobian variety of a Drin’feld modular curve. (English) Zbl 1045.11510 Publ. Res. Inst. Math. Sci. 31, No. 2, 203-246 (1995). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) (MR1329480) MSC: 11G09 11G40 14K15 PDFBibTeX XMLCite \textit{A. Tamagawa}, Publ. Res. Inst. Math. Sci. 31, No. 2, 203--246 (1995; Zbl 1045.11510) Full Text: DOI
Moonen, B. J. J.; Zarhin, Yu. G. Hodge classes and Tate classes on simple abelian fourfolds. (English) Zbl 0874.14034 Duke Math. J. 77, No. 3, 553-581 (1995). Reviewer: K.Ueno (Kyoto) MSC: 14J35 14C30 14K99 PDFBibTeX XMLCite \textit{B. J. J. Moonen} and \textit{Yu. G. Zarhin}, Duke Math. J. 77, No. 3, 553--581 (1995; Zbl 0874.14034) Full Text: DOI
Katz, Nicholas M. Exponential sums over finite fields and differential equations over the complex numbers: Some interactions. (English) Zbl 0727.11057 Bull. Am. Math. Soc., New Ser. 23, No. 2, 269-309 (1990). Reviewer: Francesco Baldassarri (Padova) MSC: 11T23 14F99 12H05 32C38 14J20 14G40 PDFBibTeX XMLCite \textit{N. M. Katz}, Bull. Am. Math. Soc., New Ser. 23, No. 2, 269--309 (1990; Zbl 0727.11057) Full Text: DOI
Zarkhin, Yuri Torsion of abelian varieties over GL(2)-extensions of number fields. (English) Zbl 0661.14032 Math. Ann. 284, No. 4, 631-646 (1989). Reviewer: Yu.Zarkhin MSC: 14K05 PDFBibTeX XMLCite \textit{Y. Zarkhin}, Math. Ann. 284, No. 4, 631--646 (1989; Zbl 0661.14032) Full Text: DOI EuDML
Murty, V. Kumar The Hodge group of an abelian variety. (English) Zbl 0688.14010 Proc. Am. Math. Soc. 104, No. 1, 61-68 (1988). Reviewer: L. Bădescu MSC: 14C30 14K20 PDFBibTeX XMLCite \textit{V. K. Murty}, Proc. Am. Math. Soc. 104, No. 1, 61--68 (1988; Zbl 0688.14010) Full Text: DOI
Serre, Jean-Pierre On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\). (Sur les représentations modulaires de degré 2 de \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\).) (French) Zbl 0641.10026 Duke Math. J. 54, 179-230 (1987). Reviewer: G. Frey MSC: 11F80 11F33 11G05 11R32 11R39 PDFBibTeX XMLCite \textit{J.-P. Serre}, Duke Math. J. 54, 179--230 (1987; Zbl 0641.10026) Full Text: DOI
Zarkhin, Yu. G. Endomorphisms and torsion of Abelian varieties. (English) Zbl 0632.14035 Duke Math. J. 54, 131-145 (1987). Reviewer: A.Parshin MSC: 14K05 PDFBibTeX XMLCite \textit{Yu. G. Zarkhin}, Duke Math. J. 54, 131--145 (1987; Zbl 0632.14035) Full Text: DOI
Chi, Wenchen Twists of central simple algebras and endomorphism algebras of some abelian varieties. (English) Zbl 0596.14034 Math. Ann. 276, 615-632 (1987). MSC: 14K05 16H05 14F22 14L30 11R32 PDFBibTeX XMLCite \textit{W. Chi}, Math. Ann. 276, 615--632 (1987; Zbl 0596.14034) Full Text: DOI EuDML
Murty, V. Kumar Algebraic cycles of abelian varieties. (English) Zbl 0521.14002 Duke Math. J. 50, 487-504 (1983). MSC: 14C30 14G10 14K20 11R42 PDFBibTeX XMLCite \textit{V. K. Murty}, Duke Math. J. 50, 487--504 (1983; Zbl 0521.14002) Full Text: DOI
Hazama, Fumio Algebraic cycles on Abelian varieties with many real endomorphisms. (English) Zbl 0497.14017 Tohoku Math. J., II. Ser. 35, 303-308 (1983). MSC: 14K15 14Pxx 14C30 14C99 12D15 PDFBibTeX XMLCite \textit{F. Hazama}, Tôhoku Math. J. (2) 35, 303--308 (1983; Zbl 0497.14017) Full Text: DOI
Oda, Takayuki A note on the Tate conjecture for K3 surfaces. (English) Zbl 0459.14003 Proc. Japan Acad., Ser. A 56, 296-300 (1980). MSC: 14G99 14J25 14F30 14K30 PDFBibTeX XMLCite \textit{T. Oda}, Proc. Japan Acad., Ser. A 56, 296--300 (1980; Zbl 0459.14003) Full Text: DOI
Ribet, Kenneth A. Twists of modular forms and endomorphisms of abelian varieties. (English) Zbl 0421.14008 Math. Ann. 253, 43-62 (1980). MSC: 14K15 11F11 11G10 14G25 14K05 14L05 PDFBibTeX XMLCite \textit{K. A. Ribet}, Math. Ann. 253, 43--62 (1980; Zbl 0421.14008) Full Text: DOI EuDML
Harris, Michael Systematic growth of Mordell-Weil groups of abelian varieties in towers of number fields. (English) Zbl 0429.14013 Invent. Math. 51, 123-141 (1979). MSC: 14K15 14H52 14G05 PDFBibTeX XMLCite \textit{M. Harris}, Invent. Math. 51, 123--141 (1979; Zbl 0429.14013) Full Text: DOI EuDML
Zarkhin, Yu. G. Abelian varieties, \(\ell\)-adic representations and Lie algebras. Rank independence on \(\ell\). (English) Zbl 0424.14015 Invent. Math. 55, 165-176 (1979). MSC: 14K15 14G25 17B20 14L30 11R32 PDFBibTeX XMLCite \textit{Yu. G. Zarkhin}, Invent. Math. 55, 165--176 (1979; Zbl 0424.14015) Full Text: DOI EuDML
Zarkhin, Yu. G. Abelian varieties, \(\ell\)-adic representations and Lie algebras. Rank independence on \(\ell\). (English) Zbl 0406.14026 Invent. Math. 55, 165-176 (1979). MSC: 14K15 14L30 14G25 17B20 PDFBibTeX XMLCite \textit{Yu. G. Zarkhin}, Invent. Math. 55, 165--176 (1979; Zbl 0406.14026) Full Text: DOI EuDML
Coates, John; Lang, Serge Diophantine approximation on abelian varieties with complex multiplication. (English) Zbl 0342.10018 Invent. Math. 34, 129-133 (1976). MSC: 11J95 14K22 PDFBibTeX XMLCite \textit{J. Coates} and \textit{S. Lang}, Invent. Math. 34, 129--133 (1976; Zbl 0342.10018) Full Text: DOI EuDML