Extension groups of tautological sheaves on Hilbert schemes

Andreas Krug

doi:10.1090/S1056-3911-2014-00655-X

Extension groups of tautological sheaves on Hilbert schemes

Andreas Krug^*

^*Corresponding author for this work

University of Bonn

Research output: Contribution to journal › Article › Research › peer review

Abstract

We give formulas for the extension groups between tautological sheaves and more generally between tautological objects twisted by natural line bundles on the Hilbert scheme of points on a smooth quasi-projective surface. As a consequence we observe that a tautological object can never be a spherical or P_n-object. We also provide a description of the Yoneda products.

Original language	English
Pages (from-to)	571-598
Number of pages	28
Journal	Journal of algebraic geometry
Volume	23
Issue number	3
E-pub ahead of print	25 Feb 2014
DOIs	https://doi.org/10.1090/S1056-3911-2014-00655-X
Publication status	Published - 2014
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.1090/S1056-3911-2014-00655-X

Cite this

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AB - We give formulas for the extension groups between tautological sheaves and more generally between tautological objects twisted by natural line bundles on the Hilbert scheme of points on a smooth quasi-projective surface. As a consequence we observe that a tautological object can never be a spherical or Pn-object. We also provide a description of the Yoneda products.

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Extension groups of tautological sheaves on Hilbert schemes

Abstract

ASJC Scopus subject areas

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