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On Simpson Moduli Spaces of Stable Sheaves on P_2 with Linear Hilbert Polynomial

  • In this short note we prove some general results on semi-stable sheaves on P_2 and P_3 with arbitrary linear Hilbert polynomial. Using Beilinson's spectral sequence, we compute free resolutions for this class of semi-stable sheaves and deduce that the smooth moduli spaces M_{r m + s}(P_2) and M_{r m + r - s}(P_2) are birationally equivalent if r and s are coprime.

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Author:Hans Georg Freiermuth
URN (permanent link):urn:nbn:de:hbz:386-kluedo-11899
Serie (Series number):Preprints (rote Reihe) des Fachbereich Mathematik (328)
Document Type:Preprint
Language of publication:English
Year of Completion:2000
Year of Publication:2000
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2002/01/08
Tag:Algebraic Geometry; Moduli Spaces; Sheaves
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011