Equivariant vector bundles on complexity-one T-varieties and Bruhat-Tits buildings

Autor:	Dasgupta, Jyoti, Gangopadhyay, Chandranandan, Kaveh, Kiumars, Manon, Christopher
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry 14L30 (primary) 20E42 (secondary)
Druh dokumentu:	Working Paper
Popis:	We give a combinatorial classification of torus equivariant vector bundles on a (normal) projective T-variety of complexity-one. This extends the classification of equivariant line bundles on complexity-one T-varieties by Petersen-S\"uss on one hand, and Klyachko's classification of equivariant vector bundles on toric varieties on the other hand. A main ingredient in our classification is the classification of torus equivariant vector bundles on toric schemes over a DVR in terms of piecewise affine maps to the (extended) Bruhat-Tits building of the general linear group. Comment: 29 pages, 1 figure. arXiv admin note: text overlap with arXiv:2402.18712
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.02912 Zobrazit plný text záznamu View this record from Arxiv