Heinloth, Jochen: Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems. - Bonn, 2003. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-02221
@phdthesis{handle:20.500.11811/1916,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-02221,
author = {{Jochen Heinloth}},
title = {Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2003,
note = {The aim of these notes is to generalize Laumon's construction [18] of automorphic sheaves corresponding to local systems on a smooth, projective curve C to the case of local systems with indecomposable unipotent ramification at a finite set of points. To this end we need an extension of the notion of parabolic structure on vector bundles to coherent sheaves. Once we have defined this, a lot of arguments from the article ``On the geometric Langlands conjecture'' by Frenkel, Gaitsgory and Vilonen [10] carry over to our situation. We show that our sheaves descend to the moduli space of parabolic bundles if the rank is less or equal to 3 and that the general case can be deduced form a generalization of the vanishing conjecture of [10].},
url = {https://hdl.handle.net/20.500.11811/1916}
}

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