Counting the hyperplane sections with fixed invariants of a plane quintic – three approaches to a classical enumerative problem

DOI10.1515/ADVGEOM.2008.033zbMath1185.14048arXivmath/0608463MaRDI QIDQ3546153

Charles Cadman, Radu Laza

Publication date: 18 December 2008

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608463

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Algebraic moduli problems, moduli of vector bundles (14D20) Varieties of low degree (14N25) Stacks and moduli problems (14D23) Pencils, nets, webs in algebraic geometry (14C21)

Related Items (3)

PGL2-equivariant strata of point configurations in P1 ⋮ Equivariant degenerations of plane curve orbits ⋮ Orbits in \((\mathbb{P}^r)^n\) and equivariant quantum cohomology

Cites Work

• Relative virtual localization and vanishing of tautological classes of moduli spaces of curves
• Some properties of stable rank-2 vector bundles on \(\mathbb{P}_n\)
• Absolute and relative Gromov-Witten invariants of very ample hypersurfaces
• Hypersurfaces of low degree
• Compactifying the space of stable maps
• Using stacks to impose tangency conditions on curves
• VARIETIES WITH ISOMORPHIC OR BIRATIONAL HYPERPLANE SECTIONS

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