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Some remarks concerning Voevodsky’s nilpotence conjecture
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Bernardara, Marcello, Marcolli, Matilde and Tabuada, Gonçalo (2018) Some remarks concerning Voevodsky’s nilpotence conjecture. Journal fur die reine und angewandte Mathematik (Crelles Journal), 2018 (738). pp. 299-312. doi:10.1515/crelle-2015-0068 ISSN 0075-4102.
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Official URL: http://dx.doi.org/10.1515/crelle-2015-0068
Abstract
In this article we extend Voevodsky’s nilpotence conjecture from smooth projective schemes to the broader setting of smooth proper dg categories. Making use of this noncommutative generalization, we then address Voevodsky’s original conjecture in the following cases: quadric fibrations, intersection of quadrics, linear sections of Grassmannians, linear sections of determinantal varieties, homological projective duals, and Moishezon manifolds.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Journal fur die reine und angewandte Mathematik (Crelles Journal) | ||||||||
Publisher: | Walter de Gruyter GmbH & Co. KG | ||||||||
ISSN: | 0075-4102 | ||||||||
Official Date: | 1 May 2018 | ||||||||
Dates: |
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Volume: | 2018 | ||||||||
Number: | 738 | ||||||||
Page Range: | pp. 299-312 | ||||||||
DOI: | 10.1515/crelle-2015-0068 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Open Access Version: |
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