Counting bitangents with stable maps

DOI10.1016/j.exmath.2006.01.003zbMath1106.14044arXivmath/0505139OpenAlexW2075039549MaRDI QIDQ860362

Renzo Cavalieri, David Ayala

Publication date: 9 January 2007

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505139

zbMATH Keywords

moduli spacesbitangent linesrational stable curvesrational stable maps

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Families, moduli of curves (algebraic) (14H10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items

Psi-class intersections on Hassett spaces for genus 0 with all weights \(\frac{1}{2}\)

Cites Work

• An invitation to quantum cohomology. Kontsevich's formula for rational plane curves
• The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
• The projectivity of the moduli space of stable curves, III: The line bundles on $M_{g,n}$, and a proof of the projectivity of $\bar{M}_{g,n}$ in characteristic 0.
• The number of plane conics that are five-fold tangent to a given curve
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