Arithmetic Geometry, Number Theory, - E-book

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Arithmetic Geometry, Number Theory, And Computation - ENG

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Sinopsis

ISBN:	9783030809140
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría algebraica
Año de publicación:	2022-03-15

This volume contains articles related to the work of the Simons Collaboration â€œArithmetic Geometry, Number Theory, and Computation.â€? 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 authorsÂ 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 â—? algebraic varieties over finite fields â—? the Chabauty-Coleman method â—? modular forms â—? rational points on curves of small genus â—? S-unit equations and integral points.

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