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