A formula for the Voevodsky motive of the moduli stack of vector bundles on a curve

Hoskins, Victoria¹ ; Pepin Lehalleur, Simon¹

¹ IMAPP, Radboud University Nijmegen, Nijmegen, Netherlands

Geometry & topology, Tome 25 (2021) no. 7, pp. 3555-3589.

Résumé

We prove a formula for the motive of the stack of vector bundles of fixed rank and degree over a smooth projective curve in Voevodsky’s triangulated category of mixed motives with rational coefficients.

Détail

DOI : 10.2140/gt.2021.25.3555

Keywords: motives, moduli stack, vector bundles

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