Family blowup formula, admissible graphs and the enumeration of singular curves. I.

DOI10.4310/jdg/1090347696zbMath1036.14014OpenAlexW1640023898WikidataQ115202928 ScholiaQ115202928MaRDI QIDQ1609805

Ai-Ko Liu

Publication date: 15 August 2002

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1090347696

zbMATH Keywords

linear systemsingularitiesblowup formulaalgebraic surfaceenumerative problems

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Divisors, linear systems, invertible sheaves (14C20) Singularities of curves, local rings (14H20)

Related Items (10)

Enumeration of curves with one singular point ⋮ The Kleiman-Piene conjecture and node polynomials for plane curves in \(\mathbb{P}^3\) ⋮ Severi degrees on toric surfaces ⋮ Tautological integrals on curvilinear Hilbert schemes ⋮ On the Bauer–Furuta and Seiberg–Witten invariants of families of 4‐manifolds ⋮ A short proof of the Göttsche conjecture ⋮ Gopakumar-Vafa BPS invariants, Hilbert schemes and quasimodular forms. I ⋮ Enriques diagrams, arbitrarily near points, and Hilbert schemes ⋮ A gluing formula for families Seiberg-Witten invariants ⋮ Yau-Zaslow formula on K3 surfaces for non-primitive classes

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