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Found 246 Documents (Results 1–100)

Elliptic curves with large Tate-Shafarevich groups over \(\mathbb{F}_q(t)\). (English) Zbl 1497.11149

Ballet, Stéphane (ed.) et al., Arithmetic, geometry, cryptography and coding theory, AGC2T, 17th international conference, Centre International de Rencontres Mathématiques, Marseilles, France, June 10–14, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 770, 151-183 (2021).
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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).
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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).
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Discriminant equations in Diophantine number theory. (English) Zbl 1361.11002

New Mathematical Monographs 32. Cambridge: Cambridge University Press (ISBN 978-1-107-09761-2/hbk; 978-1-316-16076-3/ebook). xviii, 457 p. (2017).
MSC:  11-02 11D41 11R04
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Behaviour of the order of Tate-Shafarevich groups for the quadratic twists of \(X_0(49)\). (English) Zbl 1398.11087

Loeffler, David (ed.) et al., Elliptic curves, modular forms and Iwasawa theory. In honour of John H. Coates’ 70th birthday, Cambridge, UK, March 2015. Proceedings of the conference and the workshop. Cham: Springer (ISBN 978-3-319-45031-5/hbk; 978-3-319-45032-2/ebook). Springer Proceedings in Mathematics & Statistics 188, 125-159 (2016).
MSC:  11G05 11G40 11Y50
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A semi-stable case of the Shafarevich conjecture. (English) Zbl 1365.11086

Diamond, Fred (ed.) et al., Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) – EPSRC Durham symposium, Durham, UK, July 18–28, 2011. Volume 1. Cambridge: Cambridge University Press (ISBN 978-1-107-69192-6/pbk; 978-1-107-44633-5/ebook). London Mathematical Society Lecture Note Series 414, 1-31 (2014).
MSC:  11G35 14K15 13F35
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On the density of abelian surfaces with Tate-Shafarevich group of order five times a square. (English) Zbl 1345.11037

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, 413-435 (2013).
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Notes on the parity conjecture. (English) Zbl 1323.11047

Darmon, Henri (ed.) et al., Elliptic curves, Hilbert modular forms and Galois deformations. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0617-6/pbk; 978-3-0348-0618-3/ebook). Advanced Courses in Mathematics – CRM Barcelona, 201-249 (2013).
MSC:  11G40 11G05 11G07
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The enigmatic Tate-Shafarevich group. (English) Zbl 1268.11088

Ji, Lizhen (ed.) et al., Fifth international congress of Chinese mathematicians. Proceedings of the ICCM ’10, Beijing, China, December 17–22, 2010. Part 1. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-7586-5/pbk; 978-0-8218-7555-1/set). AMS/IP Studies in Advanced Mathematics 51, pt.1, 43-50 (2012).
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Families of canonically polarized manifolds over log Fano varieties. (English) Zbl 1250.14010

Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). 51 p. (2011).
MSC:  14E30 14D05
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Shafarevich conjecture for genus-2 fibrations. (English) Zbl 1219.14020

Sankaran, P. (ed.) et al., Perspectives in geometry and topology. Proceedings of the I.I.T. Bombay golden jubilee international workshop/conference in geometry and topology, Bombay, India, August 17–25, 2007. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-01-4/hbk). Ramanujan Mathematical Society Lecture Notes Series 11, 11-15 (2010).
MSC:  14E20 14D06 14J29
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Elliptic curves with large analytic order of \(\text{Ш}(E)\). (English) Zbl 1201.11056

Tschinkel, Yuri (ed.) et al., Algebra, arithmetic, and geometry. In honor of Yu. I. Manin on the occasion of his 70th birthday. Vol. I. Boston, MA: Birkhäuser (ISBN 978-0-8176-4744-5/hbk; 978-0-8176-4745-2/ebook). Progress in Mathematics 269, 407-421 (2009).
MSC:  11G05 11G40
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Subvarieties of moduli stacks of canonically polarized varieties: generalizations of Shafarevich’s conjecture. (English) Zbl 1183.14002

Abramovich, D. (ed.) et al., Algebraic geometry, Seattle 2005. Proceedings of the 2005 Summer Research Institute, Seattle, WA, USA, July 25–August 12, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4703-9/hbk; 978-0-8218-4057-3/set). Proceedings of Symposia in Pure Mathematics. 80, Pt. 2, 685-709 (2009).
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