On the Moduli Spaces of Semi-stable Plane Sheaves of Dimension One and Multiplicity Five

Details On the Moduli Spaces of Semi-stable Plane Sheaves of Dimension One and Multiplicity Five On the Moduli Spaces of Semi-stable Plane Sheaves of Dimension One and Multiplicity Five

2010-07-12

arxiv.org/abs/1007.1815v2

Mathematics

Algebraic Geometry

There was an error in the proof of (2.1.6) of the first version and, as a result, (2.1.5), (2.1.6), (3.1.3) and (3.1.4) had to

Scientific paper

We find locally free resolutions of length one for all semistable sheaves supported on curves of multiplicity five in the complex projective plane. In most 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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