NDLI: Complete intersections in certain affine and projective monomial curves

Content Provider	Springer Nature Link
Author	García Marco, Ignacio Bermejo, Isabel
Copyright Year	2014
Abstract	Let k be an arbitrary field, the purpose of this work is to provide families of positive integers such that either the toric ideal of the affine monomial curve or the toric ideal of its projective closure is a complete intersection. More precisely, we characterize the complete intersection property for and for when: (a) is a generalized arithmetic sequence (b) is a generalized arithmetic sequence and d n ∈ ℤ+ (c) consists of certain terms of the (p, q)-Fibonacci sequence, and (d) consists of certain terms of the (p, q)-Lucas sequence. The results in this paper arise as consequences of those in [3, 5] and some new results regarding the toric ideal of the curve.
Ending Page	624
Page Count	26
Starting Page	599
File Format	PDF
ISSN	16787544
e-ISSN	16787714
Journal	Bulletin of the Brazilian Mathematical Society
Issue Number	4
Volume Number	45
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-01-06
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	generalized arithmetic sequences complete intersection Combinatorial aspects of commutative algebra Theoretical, Mathematical and Computational Physics affine and projective monomial curves Semigroup rings, multiplicative semigroups of rings Mathematics Fibonacci and Lucas sequences toric ideal Toric varieties, Newton polyhedra
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Complete intersections in certain affine and projective monomial curves