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Displaying 321 – 340 of 557

On some properties of partial intersection schemes.

Alfio Ragusa, Giuseppe Zappalà (2003)

Collectanea Mathematica

Partial intersection subschemes of Pr of codimension c were used to furnish various graded Betti numbers which agree with a fixed Hilbert function. Here we study some further properties of such schemes; in particular, we show that they are not in general licci and we give a large class of them which are licci. Moreover, we show that all partial intersections are glicci. We also show that for partial intersections the first and the last Betti numbers, say m and p respectively, give bounds each other;...

On Stanley-Reisner rings

Ralf Fröberg (1990)

Banach Center Publications

On the Abel-Jacobi map for divisors of higher rank on a curve.

E. Bifet, F. Ghione, Maurizio Letizia (1994)

Mathematische Annalen

On the arithmetical rank of a special class of minimal varieties.

Barile, Margherita (2009)

Beiträge zur Algebra und Geometrie

On the Betti numbers of perfect ideals

G. Valla (1994)

Compositio Mathematica

On the Castelnuovo-Mumford regularity of products of ideal sheaves.

Sidman, Jessica (2002)

Advances in Geometry

On the Classification of Hermitian Forms. III. Complete Semilocal Rings.

C.T.C. Wall (1973)

Inventiones mathematicae

On the Classification of Hermitian Forms. IV. Adele Rings.

C.T.C. Wall (1974)

Inventiones mathematicae

On the Classification of Hermitian Forms. V. Global Rings.

C.T.C. Wall (1974)

Inventiones mathematicae

On the Complexity of the Projective Classification of Surfaces.

A. Biancofiore, E.L. Livorni (1995)

Monatshefte für Mathematik

On the computation of a-invariants.

Jürgen Herzog, Winfried Bruns (1992)

Manuscripta mathematica

On the computation of the minimal resolution of smooth parametric varieties.

Ferruccio Orecchia (2001)

Collectanea Mathematica

On the depth and regularity of the symmetric algebra.

Herzog, Jürgen, Restuccia, Gaetana, Rinaldo, Giancarlo (2006)

Beiträge zur Algebra und Geometrie

On the deviations of a local ring.

T.H. Gulliksen (1980)

Mathematica Scandinavica

On the Dimension and Integrality of Symmetric Algebras.

A. Simis, W.V. Vasconcelos (1981)

Mathematische Zeitschrift

On the ...-Dimension of Cartesian Squares.

Susana Scrivanti (1992)

Mathematica Scandinavica

On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals

Thiago H. Freitas, Victor H. Jorge Pérez (2019)

Czechoslovak Mathematical Journal

Let $𝔞$ , $I$ , $J$ be ideals of a Noetherian local ring $(R, 𝔪, k)$ . Let $M$ and $N$ be finitely generated $R$ -modules. We give a generalized version of the Duality Theorem for Cohen-Macaulay rings using local cohomology defined by a pair of ideals. We study the behavior of the endomorphism rings of $H_{I, J}^{t} (M)$ and $D (H_{I, J}^{t} (M))$ , where $t$ is the smallest integer such that the local cohomology with respect to a pair of ideals is nonzero and $D (-) : = {Hom}_{R} (-, E_{R} (k))$ is the Matlis dual functor. We show that if $R$ is a $d$ -dimensional complete Cohen-Macaulay ring and $H_{I, J}^{i} (R) = 0$ ...

On the equivalence of algebraic and geometric local cohomology

Shu Hao Sun (1995)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we will present several necessary and sufficient conditions on a commutative ring such that the algebraic and geometric local cohomologies are equivalent.

On the free character of the first Koszul homology module.

Antonio García Rodicio (1991)

Extracta Mathematicae

Let (A,M,K) denote a local noetherian ring A with maximal ideal M and residue field K. Let I be an ideal of A and E the Koszul complex generated over A by a system of generators of I.The condition: H1(E) is a free A/I-module, appears in several important results of Commutative Algebra. For instance:- (Gulliksen [3, Proposition 1.4.9]): The ideal I is generated by a regular sequence if and only if I has finite projective dimension and H1(E) is a free A/I-module.- (André [2]): Assume that A is a complete...

On the free resolutions of local cohomology modules with respect to an ideal generated by a U.S. D-sequence

K. Khashyarmanesch (2010)

Acta Universitatis Carolinae. Mathematica et Physica

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