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Arithmetic Geometry, Number Theory, and Computation. 1st ed. 2021.
・ISBN 978-3-030-80916-4 paper EUR 229.99
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| 著者・編者 | Balakrishnan, Jennifer S. / Elkies, Noam / Hassett, Brendan / Poonen, Bjorn / Sutherland, Andrew V. / Voight, John (eds.), |
|---|---|
| シリーズ | Simons Symposia |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 587 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-5955＞ |
解説
This volume contains articles related to the work of the Simons Collaboration "Arithmetic Geometry, Number Theory, and Computation." The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research.
Specific topics include? algebraic varieties over finite fields? the Chabauty-Coleman method? modular forms? rational points on curves of small genus? S-unit equations and integral points.
Specific topics include? algebraic varieties over finite fields? the Chabauty-Coleman method? modular forms? rational points on curves of small genus? S-unit equations and integral points.