Relations in the tautological ring of the moduli space of \(K3\) surfaces

DOI10.4171/JEMS/920zbMath1436.14069arXiv1607.08758OpenAlexW2975816564MaRDI QIDQ2302425

Qizheng Yin, Rahul Pandharipande

Publication date: 26 February 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08758

zbMATH Keywords

moduli spaces\(K3\) surfacesGromov-Witten theoryNoether-Lefschetz locitautological cycles

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Families, moduli, classification: algebraic theory (14J10) Variation of Hodge structures (algebro-geometric aspects) (14D07) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (6)

Higher rank Segre integrals over the Hilbert scheme of points ⋮ Cohomology of moduli space of cubic fourfolds. I ⋮ Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds ⋮ Koszul modules with vanishing resonance in algebraic geometry ⋮ Cones of Heegner divisors ⋮ Tautological classes on moduli spaces of hyper-Kähler manifolds

Cites Work

• Unnamed Item
• Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces
• On the orthogonal groups of unimodular quadratic forms
• A geometric construction of Getzler's elliptic relation
• Curve Counting on K3 × E, The Igusa Cusp Form χ10, and Descendent Integration
• A calculus for the moduli space of curves
• A vanishing result for tautological classes on the moduli of K3 surfaces
• THE KATZ–KLEMM–VAFA CONJECTURE FOR SURFACES

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