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Binda, Federico; Merici, Alberto; Saito, Shuji (2022). Derived Log Albanese Sheaves. ArXiv.org 00984, Cornell University.
We define higher pro-Albanese functors for every effective log motive over a field k of characteristic zero, and we compute them for every smooth log smooth scheme X=(X––,∂X). The result involves an inverse system of the coherent cohomology of the underlying scheme as well as a pro-group scheme Alblog(X) that extends Serre's semi-abelian Albanese variety of X––−|∂X|. This generalizes the higher Albanese sheaves of Ayoub, Barbieri-Viale and Kahn
| Item Type: | Working Paper |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 2022 |
| Deposited On: | 30 Sep 2022 06:27 |
| Last Modified: | 22 Sep 2023 13:09 |
| Series Name: | ArXiv.org |
| ISSN: | 2331-8422 |
| Additional Information: | Submitted on 2 Jul 2021 (v1), last revised 24 Jan 2022 (this version, v2) |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.48550/arXiv.2107.00984 |
| Related URLs: | https://www.math.uzh.ch/index.php?id=people&key1=14636# (Author) https://www.math.uzh.ch/index.php?id=people&key1=14636# (Author) |
Binda, Federico