- journal article metadata
European Mathematical Society Publishing House
2017-10-21 23:40:02
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
53
2017
4
Connections on Parahoric Torsors over Curves
Vikraman
Balaji
Chennai Mathematical Institute, Siruseri, India
Indranil
Biswas
Tata Institute of Fundamental Research, Mumbai, India
Yashonidhi
Pandey
IISER, SAS Nagar, India
Bruhat–Tits group scheme, parahoric torsor, connection, polystability
We define parahoric $\mathcal G$-torsors for a certain class of Bruhat–Tits group schemes $\mathcal G$ on a smooth complex projective curve $X$ when the weights are real, and also define connections on them. We prove that a $\mathcal G$-torsor is given by a homomorphism from $\pi_1(X\setminus D)$ to a maximal compact subgroup of $G$, where the finite subset $D \subset X$ is the parabolic divisor, if and only if the $\mathcal G$-torsor is polystable.
Algebraic geometry
551
585
10.4171/PRIMS/53-4-3
http://www.ems-ph.org/doi/10.4171/PRIMS/53-4-3