2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61254The 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.12 pagesAlgebraic Geometry14D20;14J60text