Jȩdrzejak, Tomasz Ranks in the family of hyperelliptic Jacobians of \(y^2= x^5+ax\). II. (English) Zbl 1497.11159 Int. J. Number Theory 18, No. 4, 813-837 (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11G10 11G30 11G20 11G25 PDF BibTeX XML Cite \textit{T. Jȩdrzejak}, Int. J. Number Theory 18, No. 4, 813--837 (2022; Zbl 1497.11159) Full Text: DOI
Evink, Tim; van der Heiden, Gert-Jan; Top, Jaap Two-descent on some genus two curves. (English) Zbl 1480.11082 Indag. Math., New Ser. 32, No. 4, 883-900 (2021). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G30 14G05 PDF BibTeX XML Cite \textit{T. Evink} et al., Indag. Math., New Ser. 32, No. 4, 883--900 (2021; Zbl 1480.11082) Full Text: DOI arXiv Link
Jędrzejak, Tomasz Ranks in the family of hyperelliptic Jacobians of \(y^2=x^5+ax\). (English) Zbl 1468.11135 J. Number Theory 223, 35-52 (2021). Reviewer: Maciej Ulas (Kraków) MSC: 11G10 11G30 11G20 11G25 PDF BibTeX XML Cite \textit{T. Jędrzejak}, J. Number Theory 223, 35--52 (2021; Zbl 1468.11135) Full Text: DOI
Daniels, Harris B.; Lozano-Robledo, Álvaro; Wallace, Erik Bounds of the rank of the Mordell-Weil group of Jacobians of hyperelliptic curves. (English. French summary) Zbl 1475.11120 J. Théor. Nombres Bordx. 32, No. 1, 231-258 (2020). Reviewer: Ana María Botero (Regensburg) MSC: 11G10 14K15 PDF BibTeX XML Cite \textit{H. B. Daniels} et al., J. Théor. Nombres Bordx. 32, No. 1, 231--258 (2020; Zbl 1475.11120) Full Text: DOI arXiv
Flynn, E. V. Arbitrarily large 2-torsion in Tate-Shafarevich groups of abelian varieties. (English) Zbl 1455.11090 Acta Arith. 191, No. 2, 101-114 (2019). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 11G10 14H40 PDF BibTeX XML Cite \textit{E. V. Flynn}, Acta Arith. 191, No. 2, 101--114 (2019; Zbl 1455.11090) Full Text: DOI
Bekker, Boris M.; Zarhin, Yuri G. Families of elliptic curves with rational torsion points of even order. (English) Zbl 1442.14104 Beshaj, Lubjana (ed.) et al., Algebraic curves and their applications. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 724, 1-32 (2019). MSC: 14H52 11G05 PDF BibTeX XML Cite \textit{B. M. Bekker} and \textit{Y. G. Zarhin}, Contemp. Math. 724, 1--32 (2019; Zbl 1442.14104) Full Text: DOI arXiv
Zarhin, Yu. G. Division by 2 on odd-degree hyperelliptic curves and their Jacobians. (English. Russian original) Zbl 1419.14044 Izv. Math. 83, No. 3, 501-520 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 93-112 (2019). Reviewer: Sungkon Chang (Savannah) MSC: 14H40 14G27 11G10 PDF BibTeX XML Cite \textit{Yu. G. Zarhin}, Izv. Math. 83, No. 3, 501--520 (2019; Zbl 1419.14044); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 93--112 (2019) Full Text: DOI arXiv
Flynn, E. V. Arbitrarily large Tate-Shafarevich group on abelian surfaces. (English) Zbl 1444.11136 J. Number Theory 186, 248-258 (2018). MSC: 11G30 11G10 14H40 PDF BibTeX XML Cite \textit{E. V. Flynn}, J. Number Theory 186, 248--258 (2018; Zbl 1444.11136) Full Text: DOI
Bekker, B. M.; Zarhin, Yu. G. Division by 2 of rational points on elliptic curves. (English. Russian original) Zbl 1393.14030 St. Petersbg. Math. J. 29, No. 4, 683-713 (2018); translation from Algebra Anal. 29, No. 4, 196-239 (2017). Reviewer: Andrea Bandini (Parma) MSC: 14H52 PDF BibTeX XML Cite \textit{B. M. Bekker} and \textit{Yu. G. Zarhin}, St. Petersbg. Math. J. 29, No. 4, 683--713 (2018; Zbl 1393.14030); translation from Algebra Anal. 29, No. 4, 196--239 (2017) Full Text: DOI Link
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 arXiv
Creutz, Brendan Relative Brauer groups of torsors of period two. (English) Zbl 1338.14032 J. Algebra 459, 109-132 (2016). Reviewer: Timo Keller (Kaiserslautern) MSC: 14H45 14F22 14H52 PDF BibTeX XML Cite \textit{B. Creutz}, J. Algebra 459, 109--132 (2016; Zbl 1338.14032) Full Text: DOI arXiv
Bruin, Nils; Poonen, Bjorn; Stoll, Michael Generalized explicit descent and its application to curves of genus 3. (English) Zbl 1408.11065 Forum Math. Sigma 4, Paper No. e6, 80 p. (2016). MSC: 11G30 11G10 14G25 14H45 PDF BibTeX XML Cite \textit{N. Bruin} et al., Forum Math. Sigma 4, Paper No. e6, 80 p. (2016; Zbl 1408.11065) Full Text: DOI arXiv
Bhargava, Manjul; Gross, Benedict H.; Wang, Xiaoheng Arithmetic invariant theory II: pure inner forms and obstructions to the existence of orbits. (English) Zbl 1377.11046 Nevins, Monica (ed.) et al., Representations of reductive groups. In honor of the 60th birthday of David A. Vogan, Jr. Proceedings of the conference, MIT, Cambridge, MA, USA, May 19–23, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-23442-7/hbk; 978-3-319-23443-4/ebook). Progress in Mathematics 312, 139-171 (2015). MSC: 11E72 14L24 PDF BibTeX XML Cite \textit{M. Bhargava} et al., Prog. Math. 312, 139--171 (2015; Zbl 1377.11046) Full Text: DOI
Creutz, Brendan; Viray, Bianca Two torsion in the Brauer group of a hyperelliptic curve. (English) Zbl 1327.14158 Manuscr. Math. 147, No. 1-2, 139-167 (2015). MSC: 14H55 14H45 14F22 14G05 PDF BibTeX XML Cite \textit{B. Creutz} and \textit{B. Viray}, Manuscr. Math. 147, No. 1--2, 139--167 (2015; Zbl 1327.14158) Full Text: DOI arXiv
Arnth-Jensen, Anna; Flynn, E. Victor Non-trivial Ш in the Jacobian of an infinite family of curves of genus 2. (English) Zbl 1179.14030 J. Théor. Nombres Bordx. 21, No. 1, 1-13 (2009). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G30 11G10 14G25 14K15 PDF BibTeX XML Cite \textit{A. Arnth-Jensen} and \textit{E. V. Flynn}, J. Théor. Nombres Bordx. 21, No. 1, 1--13 (2009; Zbl 1179.14030) Full Text: DOI Numdam EuDML
Flynn, E. V. Homogeneous spaces and degree 4 del Pezzo surfaces. (English) Zbl 1184.11021 Manuscr. Math. 129, No. 3, 369-380 (2009). Reviewer: Sungkon Chang (Savannah) MSC: 11G30 11G10 14J32 14H40 PDF BibTeX XML Cite \textit{E. V. Flynn}, Manuscr. Math. 129, No. 3, 369--380 (2009; Zbl 1184.11021) Full Text: DOI
Cremona, J. E.; Fisher, T. A. On the equivalence of binary quartics. (English) Zbl 1159.14301 J. Symb. Comput. 44, No. 6, 673-682 (2009). MSC: 14H52 11G05 14Q05 PDF BibTeX XML Cite \textit{J. E. Cremona} and \textit{T. A. Fisher}, J. Symb. Comput. 44, No. 6, 673--682 (2009; Zbl 1159.14301) Full Text: DOI
Mahé, Valéry Hilbert’s seventeenth problem and hyperelliptic curves. (English) Zbl 1221.14034 LMS J. Comput. Math. 11, 298-325 (2008). MSC: 14H40 12D15 14G05 14P99 PDF BibTeX XML Cite \textit{V. Mahé}, LMS J. Comput. Math. 11, 298--325 (2008; Zbl 1221.14034) Full Text: DOI
Bruin, Nils; Flynn, E. Victor Towers of 2-covers of hyperelliptic curves. (English) Zbl 1145.11317 Trans. Am. Math. Soc. 357, No. 11, 4329-4347 (2005). MSC: 11G30 11G10 14H40 PDF BibTeX XML Cite \textit{N. Bruin} and \textit{E. V. Flynn}, Trans. Am. Math. Soc. 357, No. 11, 4329--4347 (2005; Zbl 1145.11317) Full Text: DOI
Bandini, Andrea Three-descent and the Birch and Swinnerton-Dyer conjecture. (English) Zbl 1083.11040 Rocky Mt. J. Math. 34, No. 1, 13-27 (2004). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11G40 PDF BibTeX XML Cite \textit{A. Bandini}, Rocky Mt. J. Math. 34, No. 1, 13--27 (2004; Zbl 1083.11040) Full Text: DOI
Simon, Denis Computing the rank of elliptic curves over number fields. (English) Zbl 1067.11015 LMS J. Comput. Math. 5, 7-17 (2002). MSC: 11D25 11R29 11Y50 PDF BibTeX XML Cite \textit{D. Simon}, LMS J. Comput. Math. 5, 7--17 (2002; Zbl 1067.11015) Full Text: DOI Link
Auer, Roland; Top, Jaap Legendre elliptic curves over finite fields. (English) Zbl 1081.11044 J. Number Theory 95, No. 2, 303-312 (2002). MSC: 11G20 11G05 PDF BibTeX XML Cite \textit{R. Auer} and \textit{J. Top}, J. Number Theory 95, No. 2, 303--312 (2002; Zbl 1081.11044) Full Text: DOI arXiv Link
Rehmann, U.; Tikhonov, S. V.; Yanchevskii, V. I. Two-torsion of the Brauer groups of hyperelliptic curves and unramified algebras over their function fields. (English) Zbl 1070.14510 Commun. Algebra 29, No. 9, 3971-3987 (2001). MSC: 14F22 12E15 16K20 PDF BibTeX XML Cite \textit{U. Rehmann} et al., Commun. Algebra 29, No. 9, 3971--3987 (2001; Zbl 1070.14510) Full Text: DOI
Cremona, J. E. Classical invariants and 2-descent on elliptic curves. (English) Zbl 0965.11025 J. Symb. Comput. 31, No. 1-2, 71-87 (2001). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11G05 14H52 11Y50 PDF BibTeX XML Cite \textit{J. E. Cremona}, J. Symb. Comput. 31, No. 1--2, 71--87 (2001; Zbl 0965.11025) Full Text: DOI Link
Djabri, Z.; Schaefer, Edward F.; Smart, N. P. Computing the \(p\)-Selmer group of an elliptic curve. (English) Zbl 0954.11022 Trans. Am. Math. Soc. 352, No. 12, 5583-5597 (2000). Reviewer: Franck Leprévost (Berlin) MSC: 11G05 11Y16 14H52 14Q05 PDF BibTeX XML Cite \textit{Z. Djabri} et al., Trans. Am. Math. Soc. 352, No. 12, 5583--5597 (2000; Zbl 0954.11022) Full Text: DOI
Flynn, E. V.; Poonen, Bjorn; Schaefer, Edward F. Cycles of quadratic polynomials and rational points on a genus-2 curve. (English) Zbl 0958.11024 Duke Math. J. 90, No. 3, 435-463 (1997). Reviewer: Władisław Narkiewicz (Wrocław) MSC: 11C08 14E05 37B99 14G05 11D41 PDF BibTeX XML Cite \textit{E. V. Flynn} et al., Duke Math. J. 90, No. 3, 435--463 (1997; Zbl 0958.11024) Full Text: DOI arXiv
Siksek, S.; Smart, N. P. On the complexity of computing the 2-Selmer group of an elliptic curve. (English) Zbl 0915.11032 Glasg. Math. J. 39, No. 3, 251-257 (1997). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11G05 14Q05 14H52 PDF BibTeX XML Cite \textit{S. Siksek} and \textit{N. P. Smart}, Glasg. Math. J. 39, No. 3, 251--257 (1997; Zbl 0915.11032) Full Text: DOI
Flynn, E. V. An explicit theory of heights. (English) Zbl 0864.11033 Trans. Am. Math. Soc. 347, No. 8, 3003-3015 (1995). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11G30 14H40 PDF BibTeX XML Cite \textit{E. V. Flynn}, Trans. Am. Math. Soc. 347, No. 8, 3003--3015 (1995; Zbl 0864.11033) Full Text: DOI
Flynn, E. V. On a theorem of Coleman. (English) Zbl 0865.14012 Manuscr. Math. 88, No. 4, 447-456 (1995). Reviewer: H.-G.Rück (Essen) MSC: 14H40 14G05 14K15 PDF BibTeX XML Cite \textit{E. V. Flynn}, Manuscr. Math. 88, No. 4, 447--456 (1995; Zbl 0865.14012) Full Text: DOI EuDML