Arithmetic Geometry, Number Theory, and Computation |
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| Editor:
| Balakrishnan, Jennifer S.
Elkies, Noam
Hassett, Brendan
Poonen, Bjorn
Sutherland, Andrew V.
Voight, John |
| Series title: | Simons Symposia Ser. |
| ISBN: | 978-3-030-80913-3 |
| Publication Date: | Mar 2022 |
| Publisher: | Springer International Publishing AG
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| Imprint: | Springer |
| Book Format: | Hardback |
| List Price: | USD $249.99 |
Book Description:
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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...
More DescriptionThis 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.