scholarly journals The ample cone of moduli spaces of sheaves on the plane

2016 ◽  
Vol 3 (1) ◽  
pp. 106-136 ◽  
Author(s):  
Izzet Coskun ◽  
Jack Huizenga
Keyword(s):  
Moduli Spaces ◽  
Moduli Spaces Of Sheaves ◽  
Ample Cone

scholarly journals Intersection cohomology of moduli spaces of sheaves on surfaces

2018 ◽  
Vol 24 (5) ◽  
pp. 3889-3926 ◽  
Author(s):  
Jan Manschot ◽  
Sergey Mozgovoy
Keyword(s):  
Moduli Spaces ◽  
Intersection Cohomology ◽  
Moduli Spaces Of Sheaves

RELATIVE GEOMETRIC INVARIANT THEORY AND UNIVERSAL MODULI SPACES

1996 ◽  
Vol 07 (02) ◽  
pp. 151-181 ◽  
Author(s):  
YI HU
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Invariant Theory ◽  
Hilbert Scheme ◽  
Geometric Invariant Theory ◽  
Geometric Invariant ◽  
Coherent Sheaves ◽  
Ample Cone

We expose in detail the principle that the relative geometric invariant theory of equivariant morphisms is related to the GIT for linearizations near the boundary of the G-effective ample cone. We then apply this principle to construct and reconstruct various universal moduli spaces. In particular, we constructed the universal moduli space over [Formula: see text] of Simpson’s p-semistable coherent sheaves and a canonical rational morphism from the universal Hilbert scheme over [Formula: see text] to a compactified universal Picard.

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