One-parameter toric deformations of cyclic quotient singularities |
| |
Authors: | Nathan Owen Ilten |
| |
Affiliation: | Mathematisches Institut, Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Germany |
| |
Abstract: | In the case of two-dimensional cyclic quotient singularities, we classify all one-parameter toric deformations in terms of certain Minkowski decompositions introduced by Altmann [Minkowski sums and homogeneous deformations of toric varieties, Tohoku Math. J. (2) 47 (2) (1995) 151-184.]. In particular, we show how to induce each deformation from a versal family, describe exactly to which reduced versal base space components each such deformation maps, describe the singularities in the general fibers, and construct the corresponding partial simultaneous resolutions. |
| |
Keywords: | Primary, 14B07 secondary, 14M25 |
本文献已被 ScienceDirect 等数据库收录! |
|