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Winter 2011 On the moduli spaces of semi-stable plane sheaves of dimension one and multiplicity five
Mario Maican
Illinois J. Math. 55(4): 1467-1532 (Winter 2011). DOI: 10.1215/ijm/1373636694

Abstract

We find locally free resolutions of length one for all semi-stable sheaves supported on curves of multiplicity five in the complex projective plane. In some cases, we also find geometric descriptions of these sheaves by means of extensions. We give natural stratifications for their moduli spaces and we describe the strata as certain quotients modulo linear algebraic groups. In most cases, we give concrete descriptions of these quotients as fibre bundles.

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Mario Maican. "On the moduli spaces of semi-stable plane sheaves of dimension one and multiplicity five." Illinois J. Math. 55 (4) 1467 - 1532, Winter 2011. https://doi.org/10.1215/ijm/1373636694

Information

Published: Winter 2011
First available in Project Euclid: 12 July 2013

zbMATH: 1273.14027
MathSciNet: MR3082879
Digital Object Identifier: 10.1215/ijm/1373636694

Subjects:
Primary: 14D20, 14D22

Rights: Copyright © 2011 University of Illinois at Urbana-Champaign

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Vol.55 • No. 4 • Winter 2011
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