Tamely ramified torsors and parabolic bundles

Indranil Biswas (1) , Niels Borne (2)

1 TIFR - Tata Institute for Fundamental Research
2 LPP - Laboratoire Paul Painlevé - UMR 8524

Given a variety $X$, and a normal crossings divisor $D\subset X$, we relate, in the case of abelian monodromy, the following two: 1. existence of a $G$-torsor with prescribed ramification, and 2. existence of essentially finite parabolic vector bundles with prescribed weights.

Domaines: Mathématiques [math]; Géométrie algébrique [math.AG]

Indranil Biswas, Niels Borne. Tamely ramified torsors and parabolic bundles. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2022, pp.293-314. ⟨10.2422/2036-2145.202005_015⟩. ⟨hal-02912474⟩