4 Se p 20 07 PRODUCING SET - THEORETIC COMPLETE INTERSECTION MONOMIAL CURVES IN
نویسنده
چکیده
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.
منابع مشابه
Producing Complete Intersection Monomial Curves in N -space
In this paper, we study the problem of determining set-theoretic and ideal-theoretic complete intersection monomial curves in affine and projective n-space. Starting with a monomial curve which is a set-theoretic (resp. ideal-theoretic) complete intersection in (n − 1)-space we produce infinitely many new examples of monomial curves that are set-theoretic (resp. idealtheoretic) complete interse...
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 کامل2 1 Se p 20 05 Certain minimal varieties are set - theoretic complete intersections
We present a class of homogeneous ideals which are generated by monomials and binomials of degree two and are set-theoretic complete intersections. This class includes certain reducible varieties of minimal degree and, in particular, the presentation ideals of the fiber cone algebras of monomial varieties of codimension two.
متن کاملBases and Ideal Generators for Projective Monomial Curves
In this article we study bases for projective monomial curves and the relationship between the basis and the set of generators for the defining ideal of the curve. We understand this relationship best for curves in P and for curves defined by an arithmetic progression. We are able to prove that the latter are set theoretic complete intersections.
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 کامل