scholarly journals Factoriality Properties of Moduli Spaces of Sheaves on Abelian and K3 Surfaces

2012 ◽  
Vol 2014 (3) ◽  
pp. 643-680 ◽  
Author(s):  
Arvid Perego ◽  
Antonio Rapagnetta
Keyword(s):  
Moduli Spaces ◽  
K3 Surfaces ◽  
Moduli Spaces Of Sheaves

scholarly journals Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces

2020 ◽  
Vol Volume 4 ◽  
Author(s):  
Lothar Göttsche
Keyword(s):  
Moduli Spaces ◽  
Generating Functions ◽  
K3 Surfaces ◽  
Line Bundles ◽  
Hilbert Schemes ◽  
Moduli Spaces Of Sheaves ◽  
Elliptic Genera ◽  
Determinant Line Bundles

We compute generating functions for elliptic genera with values in line bundles on Hilbert schemes of points on surfaces. As an application we also compute generating functions for elliptic genera with values in determinant line bundles on moduli spaces of sheaves on K3 surfaces.

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