Complete subvarieties in moduli spaces of rank 2 stables sheaves on smooth projective curves and surfaces

Mathematics – Algebraic Geometry

Scientific paper

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12 pages

Scientific paper

The aim of this paper is to prove the existence of large complete subvarieties in moduli spaces of rank two stable sheaves with arbitrary $c_1$ and sufficiently large $c_2$ 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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