Local cohomology sheaves on algebraic stacks

URN to cite this document:: urn:nbn:de:bvb:355-epub-305391
DOI to cite this document:: 10.5283/epub.30539

Sitte, Tobias

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Date of publication of this fulltext: 04 Aug 2014 13:53

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Item type:	Thesis of the University of Regensburg (PhD)
Date:	4 August 2014
Referee:	Prof. Dr. Niko Naumann and Prof. Dr. Leovigildo Alonso Tarrío
Date of exam:	15 July 2014
Institutions:	Mathematics > Prof. Dr. Niko Naumann
Projects:	GRK 1692 "Curvature, Cycles, and Cohomology"
Keywords:	algebraic geometry, algebraic stacks, category theory, stable homotopy theory, comodules, local cohomology
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Published
Refereed:	Yes, this version has been refereed
Created at the University of Regensburg:	Yes
Item ID:	30539

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Abstract (English)

We develop a concept of local cohomology sheaves for algebraic stacks and compare with the classic construction for schemes due to Grothendieck.

Translation of the abstract (German)

Wir erarbeiten ein Konzept lokaler Kohomologiegarben für algebraische Stacks und vergleichen diesen Ansatz mit der klassischen Konstruktion für Schemata nach Grothendieck.

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