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Rational points on varieties
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ISBN: 9781470437732 1470437732 Year: 2017 Publisher: Providence American Mathematical Society


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Arithmetic Geometry, Number Theory, and Computation
Authors: --- --- --- --- --- et al.
ISBN: 9783030809140 9783030809157 9783030809164 9783030809133 Year: 2021 Publisher: Cham Springer International Publishing

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Abstract

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.


Book
Arithmetic Geometry, Number Theory, and Computation
Authors: --- --- --- --- --- et al.
ISBN: 9783030809140 9783030809157 9783030809164 9783030809133 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Springer

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