منابع مشابه
Multiplier Ideals of Monomial Space Curves
This paper presents a formula for the multiplier ideals of a monomial space curve. The formula is obtained from a careful choice of log resolution. We construct a toric blowup of affine space in such a way that a log resolution of the monomial curve may be constructed from this toric variety in a well controlled manner. The construction exploits a theorem of González Pérez and Teissier (2002).
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We show that the defining ideal of every monomial curve in the affine or projective three-dimensional space can be set-theoretically defined by three binomial equations, two of which set-theoretically define a determinantal ideal generated by the 2-minors of a 2× 3 matrix with monomial entries.
متن کاملComputing lattice ideals of unions of monomial curves
In this paper we present a combinatorial study of binomial ideals of dimension 1 of k[X1, . . . , Xn], using monomial parametrizations of the irreducible affine curves defined by their associated primes. We find an algorithm that checks whether or not the ideal of a union of monomial curves is binomial and another one that calculates curves such that their associated ideal is a prescribed latti...
متن کاملMultiplier Ideals and Integral Closure of Monomial Ideals: An Analytic Approach
Proofs of two results about a monomial ideal – describing membership in auxiliary ideals associated to the monomial ideal – are given which do not invoke resolution of singularities. The AM–GM inequality is used as a substitute for taking a log resolution of the monomial ideal.
متن کاملMonomial Ideals
Monomial ideals form an important link between commutative algebra and combinatorics. In this chapter, we demonstrate how to implement algorithms in Macaulay 2 for studying and using monomial ideals. We illustrate these methods with examples from combinatorics, integer programming, and algebraic geometry.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society, Series B
سال: 2014
ISSN: 2330-1511
DOI: 10.1090/s2330-1511-2014-00001-8