On the rigidity of admissible pairs of rational homogeneous spaces of Picard number one which are of deletion type

Autor:	Ding, Cong
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	The notion of admissible pairs of rational homogeneous spaces of Picard number one and their rigidity in terms of the geometric substructures was formulated by Mok and Zhang. The rigidity is known for subdiagram type. While when the admissible pair is of deletion type, the rigidity no longer holds and we need additional conditions. Mok gave a general criterion to handle the admissible pairs which are not of subdiagram type. In this short note we give some examples of admissible pairs of irreducible compact Hermitian symmetric spaces of deletion type to be rigid under the assumption of rational saturation, as an application of Mok's theorem. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.03442 Zobrazit plný text záznamu View this record from Arxiv