scholarly journals NONEXISTENCE OF A CREPANT RESOLUTION OF SOME MODULI SPACES OF SHEAVES ON A K3 SURFACE

2007 ◽  
Vol 44 (1) ◽  
pp. 35-54 ◽  
Author(s):  
Jae-Yoo Choy ◽  
Young-Hoon Kiem
Keyword(s):  
Moduli Spaces ◽  
K3 Surface ◽  
Crepant Resolution ◽  
Moduli Spaces Of Sheaves

O’Grady’s birational maps and strange duality via wall-hitting

2019 ◽  
Vol 30 (09) ◽  
pp. 1950044
Author(s):  
Huachen Chen
Keyword(s):  
Moduli Spaces ◽  
Hodge Structure ◽  
Duke Math ◽  
K3 Surface ◽  
Birational Maps ◽  
Moduli Spaces Of Sheaves ◽  
Wall Crossing ◽  
Moduli Of Sheaves ◽  
Ideal Sheaves ◽  
Strange Duality

We prove that O’Grady’s birational maps [K. G O’Grady, The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface, J. Algebr. Geom. 6(4) (1997) 599–644] between moduli of sheaves on an elliptic K3 surface can be interpreted as intermediate wall-crossing (wall-hitting) transformations at so-called totally semistable walls, studied by Bayer and Macrì [A. Bayer and E. Macrì, MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations, Inventiones Mathematicae 198(3) (2014) 505–590]. As a key ingredient, we describe the first totally semistable wall for ideal sheaves of [Formula: see text] points on the elliptic [Formula: see text]. As an application, we give new examples of strange duality isomorphisms, based on a result of Marian and Oprea [A. Marian and D. Oprea, Generic strange duality for K3 surfaces, with an appendix by Kota Yoshioka, Duke Math. J. 162(8) (2013) 1463–1501].

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 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 Moduli spaces of stable vector bundles on Enriques surfaces

1998 ◽  
Vol 150 ◽  
pp. 85-94 ◽  
Author(s):  
Hoil Kim
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Vector Bundles ◽  
K3 Surface ◽  
Enriques Surface ◽  
Stable Bundles ◽  
Stable Vector Bundles ◽  
Enriques Surfaces

Abstract.We show that the image of the moduli space of stable bundles on an Enriques surface by the pull back map is a Lagrangian subvariety in the moduli space of stable bundles, which is a symplectic variety, on the covering K3 surface. We also describe singularities and some other features of it.

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