The Caporaso-Harris formula and plane relative Gromov-Witten invariants in tropical geometry

DOI10.1007/s00208-007-0092-4zbMath1128.14040arXivmath/0504392OpenAlexW2030699335MaRDI QIDQ2384729

Hannah Markwig, Andreas Gathmann

Publication date: 10 October 2007

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504392

zbMATH Keywords

lattice pathstropical geometrylattice polygonsenumerative geometry of plane curves

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Polyhedra and polytopes; regular figures, division of spaces (51M20) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

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Cites Work

• Toric degenerations of toric varieties and tropical curves
• Counting plane curves of any genus
• The numbers of tropical plane curves through points in general position
• Enumerative tropical algebraic geometry in ℝ²