Birational aspects of the geometry of Varieties of Sums of Powers |
| |
Authors: | Alex Massarenti Massimiliano Mella |
| |
Institution: | 1. SISSA, via Bonomea 265, 34136 Trieste, Italy;2. Università di Ferrara, Via Machiavelli 35, 44100 Ferrara, Italy |
| |
Abstract: | Varieties of Sums of Powers describe the additive decompositions of a homogeneous polynomial into powers of linear forms. The study of these varieties dates back to Sylvester and Hilbert, but only few of them, for special degrees and number of variables, are concretely identified. In this paper we aim to understand a general birational behavior of VSP. To do this we birationally embed these varieties into Grassmannians and prove the rational connectedness of many VSP in arbitrary degrees and number of variables. |
| |
Keywords: | primary 14J70 secondary 14N05 14E05 14M20 |
本文献已被 ScienceDirect 等数据库收录! |
|