Perverse coherent sheaves on blow-up. I. a quiver description

Details Perverse coherent sheaves on blow-up. I. a quiver description Perverse coherent sheaves on blow-up. I. a quiver description

2008-02-21

arxiv.org/abs/0802.3120v2

Mathematics

Algebraic Geometry

37 pages, 2 figures, submitted for ASPM, Exploration of New Structures and Natural Constructions in Mathematical Physics; ver.

Scientific paper

This is the first of two papers studying moduli spaces of a certain class of coherent sheaves, which we call {\it stable perverse coherent sheaves}, on the blowup of a projective surface. They are used to relate usual moduli spaces of stable sheaves on a surface and its blowup. In this first part, we give a quiver (or ADHM) description of moduli spaces for framed perverse coherent sheaves on the blowup of the projective plane.

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