Higher genus curves in mathematical physics and arithmetic geometry : AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, January 8, 2016, Seattle, Washington /

This volume contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both mathematical physics and arit...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Shaska, Tony, 1967- (Autor, Editor )
Autor Corporativo: AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry Seattle, Wash.
Otros Autores: Malmendier, Andreas, 1976- (Editor )
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, [2018]
Colección:Contemporary mathematics (American Mathematical Society) ; v. 703.
Temas:
Arithmetical algebraic geometry > Congresses.
Mathematical physics > Congresses.
Geometry, Algebraic > Congresses.
Géométrie algébrique arithmétique > Congrès.
Physique mathématique > Congrès.
Géométrie algébrique > Congrès.
MATHEMATICS > Geometry > General.
Geometry, Algebraic
Arithmetical algebraic geometry
Mathematical physics
Algebraic geometry > Curves > Elliptic curves.
Algebraic geometry > Curves > Jacobians, Prym varieties.
Algebraic geometry > Curves > Riemann surfaces; Weierstrass points; gap sequences.
Algebraic geometry > Curves > Special curves and curves of low genus.
Algebraic geometry > Surfaces and higher-dimensional varieties > $K3$ surfaces and Enriques surfaces.
Algebraic geometry > Surfaces and higher-dimensional varieties > Elliptic surfaces.
Number theory > Arithmetic algebraic geometry (Diophantine geometry) > Arithmetic mirror symmetry.
Number theory > Arithmetic algebraic geometry (Diophantine geometry) > Curves of arbitrary genus or genus \ne 1 over global fields.
Number theory > Arithmetic algebraic geometry (Diophantine geometry) > Heights.
Congress
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Acceso en línea:Texto completo
Descripción
Sumario:This volume contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both mathematical physics and arithmetic geometry. This volume focuses on the role of higher genus curves; in particular, hyperelliptic and superelliptic curves in algebraic geometry and mathematical physics. The articles in this volume investigate the automorphism groups of curves and superelliptic curves and results regarding integral points on curves and their applications in mirror symmetry. Moreover, geometric subjects are addressed, such as elliptic [italic bold]K3 surfaces over the rationals, the birational type of Hurwitz spaces, and links between projective geometry and abelian functions. This volume should be of particular interest to graduate students and research mathematicians interested in superelliptic and hypelliptic curves.
Descripción Física:1 online resource ([viii], 234 pages) : illustrations, tables
Bibliografía:Includes bibliographical references.
ISBN:9781470446741
147044674X

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