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• W2772488897 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 localising tensor subcategory generated by the motive of the curve, using Bialynicki-Birula decompositions of these Quot schemes. We conjecture a formula for the motive of this stack, and we prove this conjecture modulo a conjecture on the intersection theory of the Quot schemes." @default.
• W2772488897 created "2017-12-22" @default.
• W2772488897 creator A5037485465 @default.
• W2772488897 creator A5042657906 @default.
• W2772488897 date "2017-11-29" @default.
• W2772488897 modified "2023-09-27" @default.
• W2772488897 title "On the Voevodsky motive of the moduli stack of vector bundles on a curve" @default.
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