Enumeration of surfaces containing an elliptic quartic curve

DOI10.1090/S0002-9939-2014-11998-8zbMath1316.14101arXiv1209.3335OpenAlexW1972667525MaRDI QIDQ3190314

Fernando Cukierman, Angelo Felice Lopez, Israel Vainsencher

Publication date: 16 September 2014

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

Full work available at URL: https://arxiv.org/abs/1209.3335

zbMATH Keywords

intersection theoryenumerative geometryNoether-Lefschetz locus

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Projective techniques in algebraic geometry (14N05) Classical problems, Schubert calculus (14N15)

Related Items (5)

Enumeration of surfaces containing a curve of low degree ⋮ Counting surfaces singular along a line in \(\mathbb{P}^3\) ⋮ Surfaces of ℙ3 containing one conic and one line ⋮ Schematic union of \((n-3)\) and \((n-2)\) dimensional quadrics in \(\mathbb{P}^n\) ⋮ Hypersurfaces in P^5 containing unexpected subvarieties

Cites Work

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• Noether-Lefschetz theory and the Picard group of projective surfaces
• Localization in equivariant intersection theory and the Bott residue formula
• Bott’s formula and enumerative geometry
• The Number of Rational Quartics on Calabi-Yau Hypersurfaces in Weighted Projective Space $\mathsf{P}(2,1^4)$.
• Algebraic boundaries of Hilbert’s SOS cones
• Gromov-Witten theory and Noether-Lefschetz theory
• Lectures on Curves on an Algebraic Surface. (AM-59)

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