Browsing by Author "Henni, Abdelmoubine Amar"

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    Monads for torsion-free sheaves on multi-blow-ups of the projective plane
    (2009-03-25T13:16:40Z) Henni, Abdelmoubine Amar; Mathematics; Mathematical Physics
    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.