Cohomology of the Hilbert scheme of points on a surface with values in the double tensor power of a tautological bundle

DOI10.1016/j.crma.2006.10.024zbMath1107.14004OpenAlexW2048034061MaRDI QIDQ858926

Luca Scala

Publication date: 11 January 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.10.024

zbMATH Keywords

Hilbert schemeMcKay correspondencetautological bundlesFourier-Mukai functor

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05)

Cites Work

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• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• The McKay correspondence as an equivalence of derived categories
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• Sur la cohomologie de la puissance symétrique du fibré tautologique sur le schéma de Hilbert ponctuel d’une surface

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