Counting hyperelliptic curves on an abelian surface with quasi-modular forms

DOI10.4310/CNTP.2014.v8.n2.a2zbMath1308.14060arXiv1202.2094MaRDI QIDQ481151

Simon C. F. Rose

Publication date: 12 December 2014

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2094

zbMATH Keywords

hyperelliptic curvesGromov-Witten crepant resolution conjecturepolarized abelian surface

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Abelian varieties of dimension (> 1) (11G10) Elliptic curves (14H52) Moduli, classification: analytic theory; relations with modular forms (14J15) Dessins d'enfants theory (14H57)

Related Items (4)

Modularity of Calabi–Yau Varieties: 2011 and Beyond ⋮ Gromov-Witten invariants of the Hilbert schemes of points of a \(K3\) surface ⋮ Hyperelliptic genus 4 curves on abelian surfaces ⋮ Quasi-modularity of generalized sum-of-divisors functions

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