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Moduli of plane sheaves supported on curves of low multiplicity

Date: 
Tuesday 28th June 2011 - 14:00 to 14:30
Venue: 
INI Seminar Room 1
Abstract: 
We will classify the Gieseker semi-stable sheaves on the complex projective plane with support of dimension one and multiplicity four, five and, in some cases, multiplicity six. We will give natural stratifications for their moduli spaces. The strata are defined by means of cohomological conditions and have concrete geometric descriptions.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons