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Found 363 Documents (Results 1–100)

Reduction types of genus-3 curves in a special stratum of their moduli space. (English) Zbl 1506.14058

Cojocaru, Alina Carmen (ed.) et al., Women in numbers Europe III. Research directions in number theory. Selected papers based on the presentations at the 3rd conference, WINE 3, La Hublais, Center in Cesson-Sévigné, Bretagne, France, August 26–30, 2019. Cham: Springer. Assoc. Women Math. Ser. 24, 115-162 (2021).
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Stable models of plane quartics with hyperelliptic reduction. (English) Zbl 1519.11035

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, 223-237 (2021).
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A note on the Diophantine equation \((x^2-1)(y^2-1)=(z^2-1)^2\). (English) Zbl 1478.11039

Banaszak, Grzegorz (ed.) et al., Arithmetic methods in mathematical physics and biology II. Proceedings of the 2nd international conference, Będlewo, Poland, August 5–11, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 124, 23-26 (2021).
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A database of nonhyperelliptic genus-3 curves over \(\mathbb{Q}\). (English) Zbl 1516.14058

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 443-459 (2019).
MSC:  14H25
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How often does the Hasse principle hold? (English) Zbl 1451.14074

de Fernex, Tommaso (ed.) et al., Algebraic geometry: Salt Lake City 2015. 2015 summer research institute in algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 13–31, 2015. Proceedings. Part 2. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Proc. Symp. Pure Math. 97, 2, 89-102 (2018).
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Cubic fields with geometry. (English) Zbl 1451.11001

CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. Cham: Springer (ISBN 978-3-030-01402-5/hbk; 978-3-030-01404-9/ebook). xix, 493 p. (2018).
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Computing elliptic curves over \(\mathbb{Q}\): bad reduction at one prime. (English) Zbl 1410.11045

Melnik, Roderick (ed.) et al., Recent progress and modern challenges in applied mathematics, modeling and computational science. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer. Fields Inst. Commun. 79, 387-415 (2017).
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Constructing isogenies on extended Jacobi quartic curves. (English) Zbl 1404.14053

Chen, Kefei (ed.) et al., Information security and cryptology. 12th international conference, Inscrypt 2016, Beijing, China, November 4–6, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-54704-6/pbk; 978-3-319-54705-3/ebook). Lecture Notes in Computer Science 10143, 416-427 (2017).
MSC:  14K02 14H52 11G05
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Distribution of Mordell-Weil ranks of families of elliptic curves. (English) Zbl 1351.14021

Gładki, Paweł (ed.) et al., Algebra, logic and number theory. Proceedings of the 3rd joint conferences on algebra, logic and number theory, Bȩdlewo, Poland, June 8–13, 2014. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-31-7/pbk). Banach Center Publications 108, 201-229 (2016).
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Covering techniques and rational points on some genus 5 curves. (English) Zbl 1416.11104

Chamizo, Fernando (ed.) et al., Trends in number theory. Fifth Spanish meeting on number theory, Universidad de Sevilla, Sevilla, Spain, July 8–12, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 649, 89-105 (2015).
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Elliptic tales. Curves, counting, and number theory. Reprint of the 2012 hardback edition. (English) Zbl 1300.11054

Princeton, NJ: Princeton University Press (ISBN 978-0-691-16350-5/pbk; 978-1-400-84171-4/ebook). xvii, 253 p. (2015).
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Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface. (English) Zbl 1290.14015

Skorobogatov, Alexei N. (ed.), Torsors, étale homotopy and applications to rational points. Lecture notes of mini-courses presented at the workshop “Torsors: theory and applications”, Edinburgh, UK, January 10–14, 2011 and at the study group organised in Imperial College, London, UK in autumn 2010. Cambridge: Cambridge University Press (ISBN 978-1-107-61612-7/pbk; 978-1-139-52535-0/ebook). London Mathematical Society Lecture Note Series 405, 447-459 (2013).
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