Monads for framed torsion-free sheaves on multi-blow-ups of the projective plane

Details Monads for framed torsion-free sheaves on multi-blow-ups of the projective plane Monads for framed torsion-free sheaves on multi-blow-ups of the projective plane

2009-03-18

arxiv.org/abs/0903.3190v2

Mathematics

Algebraic Geometry

32 pages

Scientific paper

We construct monads for framed torsion-free sheaves on blow-ups of the complex projective plane at finitely many distinct points. 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 parameterized by a 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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