Pippi, M;
(2022)
Motivic and ℓ-adic realizations of the category of singularities of the zero locus of a global section of a vector bundle.
Selecta Mathematica
, 28
, Article 33. 10.1007/s00029-021-00734-2.
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Abstract
We study the motivic and ℓ-adic realizations of the dg category of singularities of the zero locus of a global section of a line bundle over a regular scheme. We will then use the formula obtained in this way together with a theorem due to D. Orlov and J. Burke–M. Walker to give a formula for the ℓ-adic realization of the dg category of singularities of the zero locus of a global section of a vector bundle. In particular, we obtain a formula for the ℓ-adic realization of the dg category of singularities of the special fiber of a scheme over a regular local ring of dimension n.
| Type: | Article |
|---|---|
| Title: | Motivic and ℓ-adic realizations of the category of singularities of the zero locus of a global section of a vector bundle |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00029-021-00734-2 |
| Publisher version: | https://doi.org/10.1007/s00029-021-00734-2 |
| Language: | English |
| Additional information: | his article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Keywords: | Dg categories of singularitie, Vanishing cycles, Motives, Non-commutative motives, -adic realization |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10141967 |
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