Relations between the Chow motive and the noncommutative motive of a smooth projective variety
In this note we relate the notions of Lefschetz type, decomposability, and isomorphism for Chow motives with the notions of trivial type, decomposability, and isomorphism for noncommutative motives. Some examples, counter-examples, and applications are also described.
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
Elsevier
2017
|
| Online Access: | http://hdl.handle.net/1721.1/112208 https://orcid.org/0000-0001-5558-9236 |
| _version_ | 1826212790094790656 |
|---|---|
| author | Bernardara, Marcello Trigo Neri Tabuada, Goncalo Jorge |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Bernardara, Marcello Trigo Neri Tabuada, Goncalo Jorge |
| author_sort | Bernardara, Marcello |
| collection | MIT |
| description | In this note we relate the notions of Lefschetz type, decomposability, and isomorphism for Chow motives with the notions of trivial type, decomposability, and isomorphism for noncommutative motives. Some examples, counter-examples, and applications are also described. |
| first_indexed | 2024-09-23T15:37:57Z |
| format | Article |
| id | mit-1721.1/112208 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T15:37:57Z |
| publishDate | 2017 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | mit-1721.1/1122082022-10-02T03:03:04Z Relations between the Chow motive and the noncommutative motive of a smooth projective variety Bernardara, Marcello Trigo Neri Tabuada, Goncalo Jorge Massachusetts Institute of Technology. Department of Mathematics Trigo Neri Tabuada, Goncalo Jorge In this note we relate the notions of Lefschetz type, decomposability, and isomorphism for Chow motives with the notions of trivial type, decomposability, and isomorphism for noncommutative motives. Some examples, counter-examples, and applications are also described. 2017-11-16T18:40:42Z 2017-11-16T18:40:42Z 2015-05 2015-03 2017-10-27T19:31:27Z Article http://purl.org/eprint/type/ConferencePaper 0022-4049 http://hdl.handle.net/1721.1/112208 Bernardara, Marcello, and Gonçalo Tabuada. “Relations Between the Chow Motive and the Noncommutative Motive of a Smooth Projective Variety.” Journal of Pure and Applied Algebra 219, 11 (November 2015): 5068–5077 © 2015 Elsevier https://orcid.org/0000-0001-5558-9236 http://dx.doi.org/10.1016/J.JPAA.2015.05.002 Journal of Pure and Applied Algebra Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier arXiv |
| spellingShingle | Bernardara, Marcello Trigo Neri Tabuada, Goncalo Jorge Relations between the Chow motive and the noncommutative motive of a smooth projective variety |
| title | Relations between the Chow motive and the noncommutative motive of a smooth projective variety |
| title_full | Relations between the Chow motive and the noncommutative motive of a smooth projective variety |
| title_fullStr | Relations between the Chow motive and the noncommutative motive of a smooth projective variety |
| title_full_unstemmed | Relations between the Chow motive and the noncommutative motive of a smooth projective variety |
| title_short | Relations between the Chow motive and the noncommutative motive of a smooth projective variety |
| title_sort | relations between the chow motive and the noncommutative motive of a smooth projective variety |
| url | http://hdl.handle.net/1721.1/112208 https://orcid.org/0000-0001-5558-9236 |
| work_keys_str_mv | AT bernardaramarcello relationsbetweenthechowmotiveandthenoncommutativemotiveofasmoothprojectivevariety AT trigoneritabuadagoncalojorge relationsbetweenthechowmotiveandthenoncommutativemotiveofasmoothprojectivevariety |