Hu, Haoyu and Yang, Enlin (2018) Relative singular support and the semi-continuity of characteristic cycles for etale sheaves. SELECTA MATHEMATICA-NEW SERIES, 24 (3). pp. 2235-2273. ISSN 1022-1824, 1420-9020
Full text not available from this repository. (Request a copy)Abstract
Recently, the singular support and the characteristic cycle of an ,tale sheaf on a smooth variety over a perfect field are constructed by Beilinson and Saito, respectively. In this article, we extend the singular support to a relative situation. As an application, we prove the generic constancy for singular supports and characteristic cycles of ,tale sheaves on a smooth fibration. Meanwhile, we show the failure of the lower semi-continuity of characteristic cycles in a higher relative dimension case, which is different from Deligne and Laumon's result in the relative curve case.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RAMIFICATION; Semi-continuity; Relative singular support; Relative characteristic cycle |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Mar 2020 08:19 |
| Last Modified: | 09 Mar 2020 08:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14357 |
Actions (login required)
 |
View Item |
