Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems
Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems
dc.contributor.advisor | Harder, Günter | |
dc.contributor.author | Heinloth, Jochen | |
dc.date.accessioned | 2020-04-06T10:28:40Z | |
dc.date.available | 2020-04-06T10:28:40Z | |
dc.date.issued | 2003 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/1916 | |
dc.description.abstract | 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]. | en |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Atomare Formen | |
dc.subject | Vektorbündel | |
dc.subject.ddc | 510 Mathematik | |
dc.title | Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems | |
dc.type | Dissertation oder Habilitation | |
dc.publisher.name | Universitäts- und Landesbibliothek Bonn | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.identifier.urn | https://nbn-resolving.org/urn:nbn:de:hbz:5n-02221 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 222 | |
ulbbnediss.date.accepted | 27.06.2000 | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Faltings, Gerd |
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