Autor:	Brion, Michel, Kim, Shin-young, Perrin, Nicolas
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	We describe the families of minimal rational curves on any complete symmetric variety, and the corresponding varieties of minimal rational tangents (VMRT). In particular, we prove that these varieties are homogeneous and that for non-exceptional irreducible wonderful varieties, there is a unique family of minimal rational curves, and hence a unique VMRT. We relate these results to the restricted root system of the associated symmetric space. In particular we answer by the negative a question of Hwang: for certain Fano wonderful symmetric varieties, the VMRT has two connected components. Comment: 54 pages, 1 table
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.03013 Zobrazit plný text záznamu View this record from Arxiv