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1.
Margherita Barile 《Journal of Pure and Applied Algebra》2006,207(1):109-118
We describe a class of affine toric varieties V that are set-theoretically minimally defined by binomial equations over fields of any characteristic. 相似文献
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Jooyoun Hong Aron Simis Wolmer V. Vasconcelos 《Bulletin of the Brazilian Mathematical Society》2012,43(2):171-199
In this paper we inject four Hilbert functions in the determination of the defining equations of the Rees algebra of almost complete intersections of finite co-length. Because three of the corresponding modules are Artinian, some of these relationships are very effective, with the novel approach opening up tracks to the determination of the equations and also to processes of going from homologically defined sets of equations to higher degrees ones. While not specifically directed towards the extraction of elimination equations, it will show how some of these arise naturally. 相似文献
3.
Yoichi Aoyama 《manuscripta mathematica》1977,22(3):225-228
Let k be a perfect field and S the quotient ring of a polynomial ring k[X1,...,Xt] with respect to a prime ideal. Let I be a prime ideal of S such that R=S/I is an almost complete intersection. Then, in his paper [2], Matsuoka proves that the homological dimension of the differential module R/Kis infinite under the assumption that R is Cohen-Macaulay and I2 is a primary idea]. In this paper we prove that the result is valid without the above assumption. 相似文献
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Ricerche di Matematica - In this paper, we investigate the behavior of almost reverse lexicographic ideals with the Hilbert function of a complete intersection. More precisely, over a field K, we... 相似文献
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Let S=K[x1,…,xn] be a polynomial ring over a field kand let / be a monomial ideal of S. The main result of this paper is an explicit minimal resolution of kover R= S/Iwhen / is a monomial almost complete intersection ideal of S. We also compute an upper bound on the multigraded resolution of k over a generalization of monomial almost complete intersection ring. 相似文献
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Martin Kreuzer 《Mathematische Annalen》1992,292(1):43-58
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S. L'vovsky 《manuscripta mathematica》1995,88(1):185-189
Partially supported by ISF grant MSC000 相似文献
9.
Marc Chardin Nguyen Cong Minh Ngo Viet Trung 《Proceedings of the American Mathematical Society》2007,135(6):1597-1606
This paper proves the formulae
for arbitrary monomial complete intersections and , and provides examples showing that these inequalities do not hold for general complete intersections.
for arbitrary monomial complete intersections and , and provides examples showing that these inequalities do not hold for general complete intersections.
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We prove birational boundedness results on complete intersections with trivial canonical class of base point free divisors in (some version of) Fano varieties. Our results imply in particular that Batyrev–Borisov toric construction produces only a bounded set of Hodge numbers in any given dimension, even as the codimension is allowed to grow. 相似文献
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The homotopy classification problem for complete intersections is settled when the complex dimension is larger than the total degree. 相似文献
14.
We consider complete intersection ideals in a polynomial ring over a field of characteristic zero that are stable under the action of the symmetric group permuting the variables. We determine the possible representation types for these ideals and describe formulas for the graded characters of the corresponding quotient rings. 相似文献
15.
E. N. Vasilescu 《International Journal of Game Theory》1978,7(3-4):163-182
Our main result for finite games in extensive form is that strict determinacy for a playeri in a completely inflated game structure implies almost complete information for playeri, even if we allow for certain type of overlapping for information sets. 相似文献
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Petter Andreas Bergh 《Proceedings of the American Mathematical Society》2007,135(12):3795-3803
Let be a complete intersection of codimension , and let be the algebraic closure of . We show that every homogeneous algebraic subset of is the cohomological support variety of an -module, and that the projective variety of a complete indecomposable maximal Cohen-Macaulay -module is connected.
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David B. Jaffe 《Mathematische Annalen》1989,285(4):700-700
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S. P. Dutta 《Proceedings of the American Mathematical Society》2003,131(1):113-116
Recently Avramov and Miller proved that over a local complete intersection ring in characteristic 0$">, a finitely generated module has finite projective dimension if for some 0$"> and for some 0$">, being the frobenius map repeated times. They used the notion of ``complexity' and several related theorems. Here we offer a very simple proof of the above theorem without using ``complexity' at all.