On certain Tannakian categories of integrable connections over Kaehler manifolds
Algebraic Geometry
2021-04-13 v2 Differential Geometry
Abstract
Given a compact Kaehler manifold X, it is shown that pairs of the form (E, D), where E is a trivial holomorphic vector bundle on X, and D is an integrable holomorphic connection on , produce a neutral Tannakian category. The corresponding pro-algebraic affine group scheme is studied. In particular, it is shown that this pro-algebraic affine group scheme for a compact Riemann surface determines uniquely the isomorphism class of the Riemann surface.
Keywords
Cite
@article{arxiv.2008.11483,
title = {On certain Tannakian categories of integrable connections over Kaehler manifolds},
author = {Indranil Biswas and João Pedro dos Santos and Sorin Dumitrescu and Sebastian Heller},
journal= {arXiv preprint arXiv:2008.11483},
year = {2021}
}
Comments
Final version; to appear in Canadian Journal of Mathematics