The birational geometry of moduli spaces of sheaves on the projective plane

2013 ◽  
Vol 173 (1) ◽  
pp. 37-64 ◽  
Author(s):  
Aaron Bertram ◽  
Cristian Martinez ◽  
Jie Wang
Keyword(s):  
Projective Plane ◽  
Moduli Spaces ◽  
Birational Geometry ◽  
Moduli Spaces Of Sheaves

SEMISTABLE SHEAVES WITH SYMMETRIC ON A QUADRIC SURFACE

2016 ◽  
Vol 227 ◽  
pp. 86-159 ◽  
Author(s):  
TAKESHI ABE
Keyword(s):  
Projective Plane ◽  
Moduli Spaces ◽  
Rational Maps ◽  
Quadric Surface ◽  
Plane Case ◽  
Moduli Spaces Of Sheaves ◽  
Strange Duality

For moduli spaces of sheaves with symmetric $c_{1}$ on a quadric surface, we pursue analogy to some results known for moduli spaces of sheaves on a projective plane. We define an invariant height, introduced by Drezet in the projective plane case, for moduli spaces of sheaves with symmetric $c_{1}$ on a quadric surface and describe the structure of moduli spaces of height zero. Then we study rational maps of moduli spaces of positive height to moduli spaces of representation of quivers, effective cones of moduli spaces, and strange duality for height-zero moduli spaces.

scholarly journals Obstruction theory for moduli spaces of framed flags of sheaves on the projective plane

2021 ◽  
pp. 104255
Author(s):  
Rodrigo A. von Flach ◽  
Marcos Jardim ◽  
Valeriano Lanza
Keyword(s):  
Projective Plane ◽  
Moduli Spaces ◽  
Obstruction Theory

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

scholarly journals On the Singular Sheaves in the Fine Simpson Moduli Spaces of 1-dimensional Sheaves

2017 ◽  
Vol 60 (3) ◽  
pp. 522-535 ◽  
Author(s):  
Oleksandr Iena ◽  
Alain Leytem
Keyword(s):  
Projective Plane ◽  
Moduli Space ◽  
Moduli Spaces ◽  
Blow Up ◽  
Line Bundles ◽  
Hilbert Polynomial ◽  
Stable Sheaves ◽  
Closed Subvariety

AbstractIn the Simpson moduli space M of semi-stable sheaves with Hilbert polynomial dm − 1 on a projective plane we study the closed subvariety M' of sheaves that are not locally free on their support. We show that for d ≥4 , it is a singular subvariety of codimension 2 in M. The blow up of M along M' is interpreted as a (partial) modification of M \ M' by line bundles (on support).

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

Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects

2021 ◽  
Vol 17 (2) ◽  
pp. 977-1021
Author(s):  
Christopher Hacon ◽  
Daniel Huybrechts ◽  
Richard P. W. Thomas ◽  
Chenyang Xu
Keyword(s):  
Algebraic Geometry ◽  
Moduli Spaces ◽  
Birational Geometry
Sign in / Sign up

Export Citation Format

Share Document