scholarly journals Moduli of sheaves: A modern primer

2018 ◽  
pp. 361-388
Author(s):  
Max Lieblich
Keyword(s):  
Moduli Of Sheaves

scholarly journals Moduli of sheaves supported on Quartic space curves

2016 ◽  
Vol 65 (3) ◽  
pp. 637-671 ◽  
Author(s):  
Jinwon Choi ◽  
Kiryong Chung ◽  
Mario Maican
Keyword(s):  
Space Curves ◽  
Moduli 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 A functorial construction of moduli of sheaves

2007 ◽  
Vol 168 (3) ◽  
pp. 613-666 ◽  
Author(s):  
Luis Álvarez-Cónsul ◽  
Alastair King
Keyword(s):  
Moduli Of Sheaves

Moduli of equivariant sheaves and Kronecker–McKay modules

2015 ◽  
Vol 26 (11) ◽  
pp. 1550092 ◽  
Author(s):  
Sanjay Amrutiya ◽  
Umesh Dubey
Keyword(s):  
Finite Group ◽  
Theta Functions ◽  
Moduli Of Sheaves ◽  
A Finite Group ◽  
Equivariant Sheaves

We extend Álvarez-Cónsul and King description of moduli of sheaves over projective schemes to moduli of equivariant sheaves over projective Γ-schemes, for a finite group Γ. We introduce the notion of Kronecker–McKay modules and construct the moduli of equivariant sheaves using a natural functor from the category of equivariant sheaves to the category of Kronecker–McKay modules. Following Álvarez-Cónsul and King, we also study theta functions and homogeneous co-ordinates of moduli of equivariant sheaves.

Moduli of Sheaves from Moduli of Kronecker Modules

2011 ◽  
pp. 212-228 ◽  
Author(s):  
L. Álvarez-Cónsul ◽  
A. King
Keyword(s):  
Moduli Of Sheaves
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