| Description |
1 online resource ([viii], 234 pages) : illustrations, tables |
| Series |
Contemporary mathematics (American Mathematical Society) ; v. 703 |
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Contemporary mathematics (American Mathematical Society) ; v. 703.
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| Contents |
A lower bound for the number of finitely maximal [bold italic capital]C[subscript lowercase]p-actions on a compact oriented surface / Jacob Russell and Aaron Wootton -- Galois action on regular dessins d'enfant with simple group action / S. Allen Broughton -- Equations of Riemann surfaces with automorphisms / David Swinarski -- On the field of moduli of superelliptic curves / Ruben Hidalgo and Tony Shaska -- Minimal integral Weierstrass equations for genus 2 curves / Lubjana Beshaj -- Rational points in the moduli space of genus two / L. Beshaj, R. Hidalgo, S. Kruk, A. Malmendier, S. Quispe, and T. Shaska -- Strong arithmetic mirror symmetry and toric isogenies / Christopher Magyar and Ursula Whitcher -- Inose's construction and elliptic [italic bold]K 3 surfaces with Mordell-Weil rank 15 revisited / Abhinav Kumar and Masato Kuwata -- Higher-order Weierstrass weights of branch points on superelliptic curves / Caleb McKinley Shor -- Poncelet's porism and projective fibrations / E. Previato -- Extending Runge's method for integral points / Aaron Levin -- Self-inversive polynomials, curves, and codes / David Joyner and Tony Shaska -- Syzygy divisors on Hurwitz spaces / Anand Deopurkar and Anand Patel |
| 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 [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 |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Arithmetical algebraic geometry -- Congresses
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Mathematical physics -- Congresses
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Geometry, Algebraic -- Congresses
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MATHEMATICS -- Geometry -- General.
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Geometry, Algebraic
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Arithmetical algebraic geometry
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Mathematical physics
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Algebraic geometry -- Curves -- Elliptic curves.
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Algebraic geometry -- Curves -- Jacobians, Prym varieties.
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Algebraic geometry -- Curves -- Riemann surfaces; Weierstrass points; gap sequences.
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Algebraic geometry -- Curves -- Special curves and curves of low genus.
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Algebraic geometry -- Surfaces and higher-dimensional varieties -- $K3$ surfaces and Enriques surfaces.
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Algebraic geometry -- Surfaces and higher-dimensional varieties -- Elliptic surfaces.
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Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Arithmetic mirror symmetry.
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Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves of arbitrary genus or genus \ne 1 over global fields.
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Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Heights.
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Form |
Electronic book
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| Author |
Malmendier, Andreas, 1976- editor.
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Shaska, Tony, 1967- editor, author.
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| LC no. |
2017042709 |
| ISBN |
9781470446741 |
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147044674X |
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