Two results on divisors on moduli spaces of sheaves on algebraic surfaces: generic Strange Duality on abelian surfaces and Nef cones of Hilbert schemes of points on surfaces with irregularity zero.
In the first part of this thesis, we consider a special version of Le Potier's strange duality conjecture for sheaves over abelian surfaces, after other two versions were studied in previous literature. In the current setup, the isomorphism involves moduli spaces of sheaves with fixed determina...
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| Online Access: | http://hdl.handle.net/2047/D20211213 |