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Ayoub, J (2014). La réalisation étale et les opérations de Grothendieck. Annales Scientifiques de l'Ecole Normale Superieure, 47(1):1-145.
In this article, we construct étale realization functors defined on the categories DAét(X, Λ) of étale motives (without transfers) over a scheme X. Our construction is natural and relies on a relative rigidity theorem à la Suslin-Voevodsky that we will establish first. Then, we show that these realization functors are compatible with Grothendieck operations and the "nearby cycles" functors. Along the way, we prove a number of properties concerning étale motives.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | February 2014 |
| Deposited On: | 24 Sep 2014 15:01 |
| Last Modified: | 03 Aug 2024 03:32 |
| Publisher: | Elsevier |
| ISSN: | 0012-9593 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.24033/asens.2210 |
| Related URLs: | http://smf4.emath.fr/en/Publications/AnnalesENS/4_47/html/ens_ann-sc_47_1-145.php (Publisher) |
Ayoub, J