Some remarks concerning Voevodsky’s nilpotence conjecture
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...
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| Format: | Article |
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Walter de Gruyter GmbH
2018
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| Online Access: | http://hdl.handle.net/1721.1/116035 https://orcid.org/0000-0001-5558-9236 |
| _version_ | 1826208477016489984 |
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| author | Bernardara, Marcello Marcolli, Matilde Trigo Neri Tabuada, Goncalo Jorge |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Bernardara, Marcello Marcolli, Matilde Trigo Neri Tabuada, Goncalo Jorge |
| author_sort | Bernardara, Marcello |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:06:17Z |
| format | Article |
| id | mit-1721.1/116035 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:06:17Z |
| publishDate | 2018 |
| publisher | Walter de Gruyter GmbH |
| record_format | dspace |
| spelling | mit-1721.1/1160352022-10-01T19:13:38Z Some remarks concerning Voevodsky’s nilpotence conjecture Bernardara, Marcello Marcolli, Matilde Trigo Neri Tabuada, Goncalo Jorge Massachusetts Institute of Technology. Department of Mathematics Trigo Neri Tabuada, Goncalo Jorge 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. National Science Foundation (U.S.) (Grant DMS-1201512) National Science Foundation (U.S.) (Grant PHY-1205440) 2018-06-01T15:11:51Z 2018-06-01T15:11:51Z 2015-11 2018-05-31T15:29:12Z Article http://purl.org/eprint/type/JournalArticle 0075-4102 1435-5345 http://hdl.handle.net/1721.1/116035 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 https://orcid.org/0000-0001-5558-9236 http://dx.doi.org/10.1515/CRELLE-2015-0068 Journal für die reine und angewandte Mathematik (Crelles Journal) 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. application/pdf Walter de Gruyter GmbH De Gruyter |
| spellingShingle | Bernardara, Marcello Marcolli, Matilde Trigo Neri Tabuada, Goncalo Jorge Some remarks concerning Voevodsky’s nilpotence conjecture |
| title | Some remarks concerning Voevodsky’s nilpotence conjecture |
| title_full | Some remarks concerning Voevodsky’s nilpotence conjecture |
| title_fullStr | Some remarks concerning Voevodsky’s nilpotence conjecture |
| title_full_unstemmed | Some remarks concerning Voevodsky’s nilpotence conjecture |
| title_short | Some remarks concerning Voevodsky’s nilpotence conjecture |
| title_sort | some remarks concerning voevodsky s nilpotence conjecture |
| url | http://hdl.handle.net/1721.1/116035 https://orcid.org/0000-0001-5558-9236 |
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