Counting elliptic plane curves with fixed $j$-invariant

DOI10.1090/S0002-9939-97-04136-1zbMath0883.14031MaRDI QIDQ4372443

Rahul Pandharipande

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Gromov-Witten invariantsenumerative geometrynumber of elliptic plane curves

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Elliptic curves (14H52)

Related Items (9)

Enumeration of rational curves with cross-ratio constraints ⋮ Genus two enumerative invariants in del-Pezzo surfaces with a fixed complex structure ⋮ Completion of Katz-Qin-Ruan's enumeration of genus-two plane curves ⋮ Enumerative geometry of elliptic curves on toric surfaces ⋮ Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure ⋮ Recursions for characteristic numbers of genus one plane curves ⋮ Rational cuspidal curves on del-Pezzo surfaces ⋮ Enumeration of genus-three plane curves with a fixed complex structure ⋮ Genus-one stable maps, local equations, and Vakil-Zinger's desingularization

Cites Work

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• Stacks of stable maps and Gromov-Witten invariants
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Notes on stable maps and quantum cohomology
• A mathematical theory of quantum cohomology

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