Higher genus curves in mathematical physics and arithmetic geometry : AMS Special Session 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 arith...

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Bibliographic Details
Main Authors AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, Malmendier, Andreas, Shaska, Tanush
Format eBook Book
LanguageEnglish
Published Providence, R.I. American Mathematical Society 2018
SeriesContemporary mathematics
Subjects
Arithmetical algebraic geometry
Arithmetical algebraic geometry > Congresses
Mathematical physics
Mathematical physics > Congresses
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Summary: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 $K$3 surfaces over the rationals, the birational type of Hurwitz spaces, and links between projective geometry and abelian functions.
Bibliography:Includes bibliographical references
ISBN:1470428563
9781470428563