Complete subvarieties in moduli spaces of rank 2 stables sheaves on smooth projective curves and surfaces
Abstract
The aim of this paper is to prove the existence of large complete subvarieties in moduli spaces of rank two stable sheaves with arbitrary c1 and sufficiently large c2 on algebraic surfaces. Then we study the restriction of these sheaves to curves of high degree embedded in the surface. In the final section we gives a relation with the spin strata defined by Pidstrigach and Tyurin.
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