Monomial space curves in ${\bf P}\sp 3\sb k$ as binomial set theoretic complete intersections
نویسندگان
چکیده
منابع مشابه
On Binomial Set-Theoretic Complete Intersections in Characteristic p
Using arithmetic conditions on affine semigroups we prove that for a simplicial toric variety of codimension 2 the property of being a set-theoretic complete intersection on binomials in characteristic p holds either for all primes p, or for no prime p, or for exactly one prime p.
متن کاملSpace Curves as Complete Intersections
This is an expository account based mainly on an article by Jack Ohm titled “Space curves as ideal-theoretic intersections”. It also gives a proof of the fact that smooth space curves can be realized as set-theoretic complete intersections. The penultimate section proves the theorem of Cowsik and Nori : Curves in affine n-space of characteristic p are set-theoretic complete intersection.
متن کاملSet - Theoretic Complete Intersection Monomial
In this paper we describe an algorithm for producing infinitely many examples of set-theoretic complete intersection monomial curves in P n+1 , starting with a single set-theoretic complete intersection monomial curve in P n. Moreover we investigate the numerical criteria to decide when these monomial curves can or cannot be obtained via semigroup gluing.
متن کاملSET-THEORETIC COMPLETE INTERSECTIONS IN CHARACTERISTIC p
We describe a class of toric varieties which are set-theoretic complete intersections only over fields of one positive characteristic p.
متن کامل4 Se p 20 07 PRODUCING SET - THEORETIC COMPLETE INTERSECTION MONOMIAL CURVES IN
In this paper we produce infinitely many examples of set-theoretic complete intersection monomial curves in P n+1 , starting with a set-theoretic complete intersection monomial curve in P n. In most of the cases our results cannot be obtained through semigroup gluing technique and we can tell apart explicitly which cases are new.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1989
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1989-0976361-7