Monads for torsion-free sheaves on multi-blow-ups of the projective plane
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Date
2009-03-25T13:16:40Z
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Abstract
We construct monads for framed torsion-free sheaves with fixed Chern character on the multi-blow-ups of the complex projective plane. Using these monads we prove that the moduli space of such sheaves is a smooth algebraic variety. Moreover we construct monads for families of such sheaves parametrized by a reduced noetherian scheme $S$ of finite type. A universal monad on the moduli space is introduced and used to prove that the moduli space is fine.
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Algebraic Geometry