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Some remarks concerning Voevodsky’s nilpotence conjecture

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[Journal fr die reine und angewandte Mathematik] Some remarks concerning Voevodskys nilpotence conjecture.pdf

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Author(s)
Bernardara, Marcello
•
Marcolli, Matilde
•
Trigo Neri Tabuada, Goncalo Jorge
Date Issued
November 2015
Journal
Journal für die reine und angewandte Mathematik (Crelles Journal)
Publisher
Walter de Gruyter GmbH
Citation
Bernardara, Marcello et al. “Some Remarks Concerning Voevodsky’s Nilpotence Conjecture.” Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2018, 738 (May 2018): 299–312 © 2018 De Gruyter
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/116035
DOI of Published Version
https://doi.org/10.1515/CRELLE-2015-0068
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