Arithmetic Geometry, Number Theory, and Computation /

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...

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Bibliographic Details
Corporate Author:	SpringerLink (Online service)
Other Authors:	Balakrishnan, Jennifer S. (Editor), Elkies, Noam (Editor), Hassett, Brendan (Editor), Poonen, Bjorn (Editor), Sutherland, Andrew V. (Editor), Voight, John (Editor)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2021.
Edition:	1st ed. 2021.
Series:	Simons Symposia,
Subjects:	Algebraic geometry. Number theory. Computer science. Algebraic Geometry. Number Theory. Theory of Computation. Electronic books.
Online Access:	Connect to the full text of this electronic book

Description
Summary:	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.
Physical Description:	1 online resource (X, 587 pages 48 illustrations, 36 illustrations in color)
ISBN:	9783030809140
ISSN:	2365-9572
DOI:	10.1007/978-3-030-80914-0