On the geometry of complete intersection toric varieties |
| |
Authors: | Nickolas J. Michelacakis Apostolos Thoma |
| |
Affiliation: | (1) Department of Mathematics and Statistics, University of Cyprus, Nicosia, 1678, Cyprus;(2) Department of Mathematics, University of Ioannina, Ioannina, 45110, Greece |
| |
Abstract: | In this paper we give a geometric characterization of the cones of toric varieties that are complete intersections. In particular, we prove that the class of complete intersection cones is the smallest class of cones which is closed under direct sum and contains all simplex cones. Further, we show that the number of the extreme rays of such a cone, which is less than or equal to 2n − 2, is exactly 2n − 2 if and only if the cone is a bipyramidal cone, where n > 1 is the dimension of the cone. Finally, we characterize all toric varieties whose associated cones are complete intersection cones. Received: 4 July 2005 |
| |
Keywords: | 14M25 14M10 |
本文献已被 SpringerLink 等数据库收录! |
|