The Hilbert scheme of hyperelliptic Jacobians and moduli of Picard sheaves

DOI10.2140/ant.2020.14.1381zbMath1443.14005arXiv1804.08481OpenAlexW3102594980MaRDI QIDQ2201802

Andrea T. Ricolfi

Publication date: 17 September 2020

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08481

zbMATH Keywords

JacobianFourier-Mukai transformHilbert schemesPicard sheavesTorelli morphism

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Jacobians, Prym varieties (14H40) Algebraic moduli of abelian varieties, classification (14K10)

Related Items (2)

Components and singularities of Quot schemes and varieties of commuting matrices ⋮ The Torelli map restricted to the hyperelliptic locus

Cites Work

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• The irreducibility of the space of curves of a given genus
• Duality between D(X) and with its application to picard sheaves
• A New Proof of the Ran-Matsusaka Criterion for Jacobians
• Local Contributions to Donaldson–Thomas Invariants
• Curve counting on abelian surfaces and threefolds
• On a Theorem of Torelli

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