Rigidity of Graded Integral Domains and of their Veronese Subrings

Autor:	Daigle, Daniel
Rok vydání:	2023
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry Primary: 13N15 14R20. Secondary: 14C20 14R05 14R25
Druh dokumentu:	Working Paper
Popis:	A ring R is said to be rigid if the only locally nilpotent derivation of R is the zero derivation. Let B = (direct sum of B_n for n in Z) be a Z-graded commutative integral domain of characteristic 0. For each positive integer d, consider the Veronese subring B(d) of B, defined by B(d) = (direct sum of the B_n for n in dZ). We study the properties of the set of positive integers d such that B(d) is non-rigid, and give some applications.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.05066 Zobrazit plný text záznamu View this record from Arxiv