Journal of Algebraic Geometry

Sur la cohomologie de la puissance symétrique du fibré tautologique sur le schéma de Hilbert ponctuel d'une surface

Author(s): Gentiana Danila
Journal: J. Algebraic Geom. 13 (2004), 81-113.
Posted: August 5, 2003
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Abstract: We compute some cohomology spaces for the symmetric power of the tautological bundle tensor the determinant bundle on the punctual Hilbert scheme $X^{\mbox{}^{[n]}}$ of a smooth projective surface

on ${\mathbb C}$ .

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Gentiana Danila
Affiliation: UMR 7586 du CNRS, Institut de Mathematiques, 2 Place Jussieu, 75251 Paris Cedex 05, France
Address at time of publication: Mathematical Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
Email: gentiana@math.jussieu.fr, gentiana@maths.warwick.ac.uk

PII: S 1056-3911(03)00372-2
Received by editor(s): May 31, 2001
Posted: August 5, 2003

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