scholarly journals Isotropic Quot schemes of orthogonal bundles over a curve

2021 ◽  
Author(s):  
Daewoong Cheong ◽  
Insong Choe ◽  
George H. Hitching
Keyword(s):  
Quot Schemes

Stability of sheaves over Quot schemes

2018 ◽  
Vol 149 ◽  
pp. 66-85 ◽  
Author(s):  
Chandranandan Gangopadhyay
Keyword(s):  
Quot Schemes

scholarly journals An elementary, explicit, proof of the existence of Quot schemes of points

2007 ◽  
Vol 231 (2) ◽  
pp. 401-415 ◽  
Author(s):  
Trond Gustavsen ◽  
Dan Laksov ◽  
Roy Skjelnes
Keyword(s):  
Quot Schemes ◽  
Explicit Proof

scholarly journals General Hilbert stacks and Quot schemes

2015 ◽  
Vol 64 (2) ◽  
pp. 335-347 ◽  
Author(s):  
Jack Hall ◽  
David Rydh
Keyword(s):  
Quot Schemes

scholarly journals ON THE VOEVODSKY MOTIVE OF THE MODULI STACK OF VECTOR BUNDLES ON A CURVE

2020 ◽  
Author(s):  
Victoria Hoskins ◽  
Simon Pepin Lehalleur
Keyword(s):  
Vector Bundles ◽  
Intersection Theory ◽  
Line Bundles ◽  
Projective Curve ◽  
Classifying Space ◽  
Smooth Projective Curve ◽  
Quot Schemes ◽  
Homotopy Colimit ◽  
Moduli Stack ◽  
Fixed Rank

Abstract We define and study the motive of the moduli stack of vector bundles of fixed rank and degree over a smooth projective curve in Voevodsky’s category of motives. We prove that this motive can be written as a homotopy colimit of motives of smooth projective Quot schemes of torsion quotients of sums of line bundles on the curve. When working with rational coefficients, we prove that the motive of the stack of bundles lies in the localizing tensor subcategory generated by the motive of the curve, using Białynicki-Birula decompositions of these Quot schemes. We conjecture a formula for the motive of this stack, inspired by the work of Atiyah and Bott on the topology of the classifying space of the gauge group, and we prove this conjecture modulo a conjecture on the intersection theory of the Quot schemes.

scholarly journals Quot schemes and Ricci semipositivity

2017 ◽  
Vol 355 (5) ◽  
pp. 577-581
Author(s):  
Indranil Biswas ◽  
Harish Seshadri
Keyword(s):  
Quot Schemes
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