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Torus action on the moduli spaces of torsion plane sheaves of multiplicity four
- Issue Date
- Sep-2014
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Semi-stable sheaves; Equivariant sheaves; Bialynicki-Birula decomposition; Torus localization; Betti numbers
- Citation
- JOURNAL OF GEOMETRY AND PHYSICS, v.83, pp 18 - 35
- Pages
- 18
- Journal Title
- JOURNAL OF GEOMETRY AND PHYSICS
- Volume
- 83
- Start Page
- 18
- End Page
- 35
- ISSN
- 0393-0440
1879-1662
- Abstract
- We describe the torus fixed locus of the moduli space of stable sheaves with Hilbert polynomial 4m+1 on P-2. We determine the torus representation of the tangent spaces at the fixed points, which leads to the computation of the Betti and Hodge numbers of the moduli space. (C) 2014 Elsevier B.V. All rights reserved.
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