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A central question in invariant theory is that of determining the relations among
invariants. Geometric invariant theory quotients come with a natural ample line bundle,
and hence often a natural pr...
Cusps of the Kähler moduli space and stability conditions on K3 surfaces
Cusps of the Kä hler moduli space stability conditions
2011/1/21
In [Ma09] S. Ma established a bijection between Fourier–Mukai partners of a K3 surface and cusps of the K¨ahler moduli space.The K¨ahler moduli space can be described as a quotient of Bridgeland’s sta...
The Betti numbers of the moduli space of stable sheaves of rank 3 on P2
sheaves moduli spaces
2010/12/2
This article computes the generating functions of the Betti numbers of the moduli space of stable sheaves of rank 3 on P2 and its blow-up ~P2. Wall-crossing is used to obtain the Betti numbers on ~P2....