Journal article
Iterating the algebraic étale-Brauer set
- Abstract:
- In this paper, we iterate the algebraic étale-Brauer set for any nice variety X over a number field k with πét 1 (X) finite and we show that the iterated set coincides with the original algebraic étale-Brauer set. This provides some evidence towards the conjectures by Colliot-Thélène on the arithmetic of rational points on nice geometrically rationally connected varieties over k and by Skorobogatov on the arithmetic of rational points on K3 surfaces over k; moreover, it gives a partial answer to an “algebraic” analogue of a question by Poonen about iterating the descent set.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 381.5KB, Terms of use)
-
- Publisher copy:
- 10.1016/j.jnt.2017.05.027
Authors
- Publisher:
- Elsevier
- Journal:
- Journal of Number Theory More from this journal
- Volume:
- 182
- Pages:
- 284-295
- Publication date:
- 2017-07-20
- Acceptance date:
- 2017-06-29
- DOI:
- EISSN:
-
1096-1658
- ISSN:
-
0022-314X
- Keywords:
- Pubs id:
-
pubs:707596
- UUID:
-
uuid:0b101edb-24da-4964-bdc7-dcd95fbc5243
- Local pid:
-
pubs:707596
- Source identifiers:
-
707596
- Deposit date:
-
2017-07-10
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2017
- Notes:
- Copyright © 2017 Elsevier Inc. This is the accepted manuscript version of the article. The final version is available online from Elsevier at:https://doi.org/10.1016/j.jnt.2017.05.027
If you are the owner of this record, you can report an update to it here: Report update to this record