Regularity, Rees algebra, and Betti numbers of certain cover ideals

Full metadata record

DC Field	Value	Language
dc.rights.license	All Open Access, Green	-
dc.contributor.author	Kumar A.	en_US
dc.contributor.author	Kumar R.	en_US
dc.date.accessioned	2023-11-30T08:42:47Z	-
dc.date.available	2023-11-30T08:42:47Z	-
dc.date.issued	2020	-
dc.identifier.issn	0003889X	-
dc.identifier.other	EID(2-s2.0-85087484964)	-
dc.identifier.uri	https://dx.doi.org/10.1007/s00013-020-01486-9	-
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/598	-
dc.description.abstract	Let S= k[X1, ⋯ , Xn] be a polynomial ring, where k is a field. This article deals with the defining ideal of the Rees algebra of a squarefree monomial ideal generated in degree n- 2. As a consequence, we prove that Betti numbers of powers of the cover ideal of the complement graph of a tree do not depend on the choice of the tree. Further, we study the regularity and Betti numbers of powers of cover ideals associated to certain graphs. © 2020, Springer Nature Switzerland AG.	en_US
dc.language.iso	en	en_US
dc.publisher	Birkhauser	en_US
dc.source	Archiv der Mathematik	en_US
dc.subject	Betti numbers	en_US
dc.subject	Complement graph	en_US
dc.subject	Complete graph	en_US
dc.subject	Cover ideal	en_US
dc.subject	Rees algebra	en_US
dc.subject	Regularity	en_US
dc.title	Regularity, Rees algebra, and Betti numbers of certain cover ideals	en_US
dc.type	Journal Article	en_US
Appears in Collections:	Journal Article