Exact formulas for invariants of Hilbert schemes

DOI10.1007/s40993-018-0132-zzbMath1441.14022arXiv1808.04431OpenAlexW2885457625WikidataQ129215134 ScholiaQ129215134MaRDI QIDQ2316282

Matthew Schoenbauer, Xavier Gonzalez, Nate Gillman

Publication date: 26 July 2019

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04431

zbMATH Keywords

circle methodtopological invariantsmodular formsHilbert schemes

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Modular and automorphic functions (11F03) Parametrization (Chow and Hilbert schemes) (14C05) Surfaces of general type (14J29)

Related Items (2)

On the algebraicity about the Hodge numbers of the Hilbert schemes of algebraic surfaces ⋮ From partitions to Hodge numbers of Hilbert schemes of surfaces

Uses Software

• DLMF

Cites Work

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• Lectures on Kähler manifolds
• On the expansion of the partition functions in a series
• A partition function connected with the modulus five
• Coefficients of Harmonic Maass Forms
• Elliptic Surfaces
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• Differential Analysis on Complex Manifolds
• Partitions into Odd and Unequal Parts
• Partitions with a Restriction on the Multiplicity of the Summands
• Partitions Into Odd Summands
• The Fourier Coefficients of the Modular Invariant J(τ)

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