Bertolin, Cristiana (2009) Extensions and biextensions of locally constant group schemes, tori and abelian schemes. MATHEMATISCHE ZEITSCHRIFT, 261 (4). pp. 845-868. ISSN 0025-5874,
Full text not available from this repository. (Request a copy)Abstract
Let S be a scheme. We compute explicitly the group of homomorphisms, the S-sheaf of homomorphisms, the group of extensions, and the S-sheaf of extensions involving locally constant S-group schemes, abelian S-schemes, and S-tori. Using the obtained results, we study the categories of biextensions involving these geometrical objects. In particular, we prove that if G(i) (for i = 1, 2, 3) is an extension of an abelian S-scheme A(i) by an S-torus T(i), the category of biextensions of (G(1), G(2)) by G(3) is equivalent to the category of biextensions of the underlying abelian S-schemes (A(1), A(2)) by the underlying S-torus T(3).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DEFORMATIONS; Extensions; Biextensions; Locally constant group schemes; Tori; Abelian schemes |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 18 Sep 2020 14:55 |
| Last Modified: | 18 Sep 2020 14:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29200 |
Actions (login required)
 |
View Item |
