Containment Problem for Quasi Star Configurations of Points in ℙ2

Autor:	Mohammad Mosakhani, Hassan Haghighi
Rok vydání:	2018
Předmět:	Containment (computer programming) Algebra and Number Theory Ideal (set theory) Mathematics::Commutative Algebra Applied Mathematics 010102 general mathematics Type (model theory) Topology 01 natural sciences Quasi-star 0103 physical sciences 010307 mathematical physics 0101 mathematics Mathematics
Zdroj:	Algebra Colloquium. 25:661-670
ISSN:	0219-1733 1005-3867
Popis:	In this paper, the containment problem for the defining ideal of a special type of zero-dimensional subscheme of ℙ2, the so-called quasi star configuration, is investigated. Some sharp bounds for the resurgence of these types of ideals are given. As an application of this result, for every real number [Formula: see text], we construct an infinite family of homogeneous radical ideals of points in 𝕂[ℙ2] such that their resurgences lie in the interval [2−ε, 2). Moreover, the Castelnuovo-Mumford regularity of all ordinary powers of defining ideal of quasi star configurations are determined. In particular, it is shown that all of these ordinary powers have a linear resolution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2b5d6b006616ad0fb695f20d3506e0c3 https://doi.org/10.1142/s1005386718000469 Zobrazit plný text záznamu