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arXiv · 0903.3190

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

Abdelmoubine Amar Henni
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Abstract

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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Abdelmoubine Amar Henni. 2009-03-18. Monads for framed torsion-free sheaves on multi-blow-ups of the projective plane. https://doi.org/10.1142/s0129167x14500086

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