Logarithmic vector fields and foliations on toric varieties

Autor:	Faenzi, Daniele, Jardim, Marcos, Montoya, William D
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We introduce a toric version of the sheaf of logarithmic vector fields along a divisor of a simplicial toric variety. The notion is also relevant for algebraically independent families of polynomials in the Cox ring. We provide a generalisation of the Saito criterion for the freeness of the toric logarithmic sheaf. We explain the relationship between this sheaf and the usual sheaf of logarithmic vector fields and the connection with holomorphic foliations on toric varieties. Comment: Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.10671 Zobrazit plný text záznamu View this record from Arxiv