نتایج جستجو برای: generic initial ideal

تعداد نتایج: 521559  

Journal: :bulletin of the iranian mathematical society 2011
l. sharifan f. rahmati

Journal: :Annali di Matematica Pura ed Applicata (1923 -) 2016

Journal: :Journal of Pure and Applied Algebra 1999

1998
Jan Snellman

This article generalizes the well-known notion of generic forms to the algebra R 0 , introduced in 27]. For the total degree, then reverse lexicographic order, we prove that the initial ideal of an ideal generated by nitely many generic forms (in countably innnitely many variables) is nitely generated. This contrasts to the lexicographic order, for which initial ideals of generic ideals in gene...

1997
Michele Cook

This is a continuation of the papers of Braun and Fløystad [BF], Cook [C1] and Braun and Cook [BC] bounding the degree of smooth surfaces not of general type in P using Generic Initial Ideal Theory. We will use and expand on the results of [BC] using Liaison Theory. We will further restrict the configurations of the generic initial ideal of a generic hyperplane section of the surface by conside...

2008
Rahim Zaare-Nahandi

In this paper, by a modification of a previously constructed minimal free resolution for a transversal monomial ideal, the Betti numbers of this ideal is explicitly computed. For convenient characteristics of the ground field, up to a change of coordinates, the ideal of t-minors of a generic pluri-circulant matrix is a transversal monomial ideal . Using a Gröbner basis for this ideal, it is sho...

2008
Michele Cook

Let S = C[x1, . . . , xn+1] be the set of polynomials in n+1 variables over C (usually corresponding to the homogeneous coordinate ring of P). Let ≻ be the reverse lexicographical order on the monomials of S. Given a homogeneous ideal I in S, gin(I), the generic initial ideal of I, is the Borel-fixed monomial ideal associated to I. (For details see [B], [BM], [BS] or [Gr].) The generic initial ...

2006
SATOSHI MURAI

We will study monomial ideals I in the exterior algebra as well as in the polynomial ring whose generic initial ideal is constant for all term orders up to permutations of variables. First, in the exterior algebra, we determine all graphs and all flag complexes whose exterior face ideal satisfies the above condition. Second, in the polynomial ring, it will be shown that the generic initial idea...

2000
AMELIA TAYLOR

Generic linkage is used to compute a prime ideal such that the radical of the initial ideal of the prime ideal is equal to the radical of a given codimension two monomial ideal that has a Cohen-Macaulay quotient ring.

Journal: :J. Symb. Comput. 2005
Aldo Conca Jessica Sidman

Let I be the defining ideal of a smooth irreducible complete intersection space curve C with defining equations of degrees a and b. We use the partial elimination ideals introduced by Mark Green to show that the lexicographic generic initial ideal of I has Castelnuovo-Mumford regularity 1+ ab(a− 1)(b− 1)/2 with the exception of the case a = b = 2, where the regularity is 4. Note that ab(a− 1)(b...

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