Singularities of divisors of low degree on abelian varieties |
| |
| Authors: | Olivier Debarre Christopher D Hacon |
| |
| Institution: | (1) Mathématique, IRMA, UMR 7501, Université Louis Pasteur, 7, rue René Descartes, 67084 Strasbourg Cédex, France;(2) Department of Mathematics, University of Utah, 155 South 1400 East, Room 233, Salt Lake City, UT 84112, USA |
| |
| Abstract: | Building on previous work of Kollár, Ein, Lazarsfeld, and Hacon, we show that ample divisors of low degree on an abelian variety
have mild singularities in case the abelian variety is simple or the degree of the polarization is two.
Olivier Debarre was visiting the University of Michigan when part of this work was done, with support from William Fulton
and Robert Lazarsfeld. Christopher Hacon was partially supported by NSA research grant no: MDA904-03-1-0101 and by a grant
from the Sloan Foundation. |
| |
| Keywords: | 14K05 1K412 14J17 14F17 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
