Results 31 to 40 of about 14,720 (185)
Ideals with linear quotients in Segre products [PDF]
Opuscula Mathematica, 2017 We establish that the Segre product between a polynomial ring on a field \(K\) in \(m\) variables and the second squarefree Veronese subalgebra of a polynomial ring on \(K\) in \(n\) variables has the intersection degree equal to three.
Gioia Failla
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Journal of Commutative Algebra, 2014 15 pages, 4 ...
Clark, Timothy B.P., Mapes, Sonja
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Splittings of monomial ideals [PDF]
, 2008 We provide some new conditions under which the graded Betti numbers of a monomial ideal can be computed in terms of the graded Betti numbers of smaller ideals, thus complementing Eliahou and Kervaire's splitting approach.
Francisco, Christopher A. +2 more
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Multiplier ideals of monomial ideals [PDF]
Transactions of the American Mathematical Society, 2001 In this note we discuss a simple algebraic calculation of the multiplier ideal associated to a monomial ideal in affine n n -space. We indicate how this result allows one to compute not only the multiplier ideal but also the log canonical threshold of an ideal in terms of its Newton polygon.
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Families of finite sets in which no set is covered by the union of the others
Examples and Counterexamples, 2023 Let ℱ be a finite nonempty family of finite nonempty sets. We prove the following: (1) ℱ satisfies the condition of the title if and only if for every pair of distinct subfamilies {A1,…,Ar}, {B1,…,Bs}of ℱ, ⋃i=1rAi≠⋃i=1sBi.
Guillermo Alesandroni
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Multiplier ideals of monomial space curves
Proceedings of the American Mathematical Society, Series B, 2014 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
Howard M Thompson
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Monomial principalization in the singular setting [PDF]
, 2014 We generalize an algorithm by Goward for principalization of monomial ideals in nonsingular varieties to work on any scheme of finite type over a field.
Harris, Corey
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Minimal Systems of Binomial Generators for the Ideals of Certain Monomial Curves
Mathematics, 2021 Let a,b and n>1 be three positive integers such that a and ∑j=0n−1bj are relatively prime. In this paper, we prove that the toric ideal I associated to the submonoid of N generated by {∑j=0n−1bj}∪{∑j=0n−1bj+a∑j=0i−2bj∣i=2,…,n} is determinantal. Moreover,
Manuel B. Branco +2 more
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Extremal Betti Numbers of t-Spread Strongly Stable Ideals
Mathematics, 2019 Let K be a field and let S = K [ x 1 , ⋯ , x n ] be a polynomial ring over K. We analyze the extremal Betti numbers of special squarefree monomial ideals of S known as the t-spread strongly stable ideals, where t is an integer ≥ 1
Luca Amata, Marilena Crupi
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Free Resolutions and Generalized Hamming Weights of Binary Linear Codes
Mathematics, 2022 In this work, we explore the relationship between the graded free resolution of some monomial ideals and the Generalized Hamming Weights (GHWs) of binary codes.
Ignacio García-Marco +3 more
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