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Arithmetic Geometry, Number Theory, and Computation -

English
2022-03-16
€338.78 €423.48

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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 abel ... Full description

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Description

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.

More Information

Publisher Springer Nature Switzerland
Series Simons Symposia
Release year 2022
Cover type Hardcover
EAN 9783030809133
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€338.78 €423.48