Zobrazeno 1 - 10
of 230
pro vyhledávání: '"13D25"'
Autor:
Schenzel, Peter
Let $\check{C}_{\underline{x}}$ denote the \v{C}ech complex with respect to a system of elements $\underline{x} = x_1,\ldots,x_r$ of a commutative ring $R$. We construct a bounded complex $\mathcal{L}_{\underline{x}}$ of free $R$-modules and a quasi-
Externí odkaz:
http://arxiv.org/abs/2003.07855
Autor:
Boda, Eduard, Schenzel, Peter
Let $\mathfrak{q}$ denote an $\mathfrak{m}$-primary ideal of a $d$-dimensional local ring $(A, \mathfrak{m}).$ Let $\underline{a} = a_1,\ldots,a_d \subset \mathfrak{q}$ be a system of parameters. Then there is the following inequality for the multipl
Externí odkaz:
http://arxiv.org/abs/1702.03704
Publikováno v:
Trans. Amer. Math. Soc. 372 (2019), 1601-1630
We show the Cohen-Macaulayness and describe the canonical module of residual intersections $J=\mathfrak{a}\colon_R I$ in a Cohen-Macaulay local ring $R$, under sliding depth type hypotheses. For this purpose, we construct and study, using a recent ar
Externí odkaz:
http://arxiv.org/abs/1701.08087
Autor:
Dutta, S. P.
Let $I$ be an ideal of height $d$ in a regular local ring $(R,m,k=R/m)$ of dimension $n$ and let $\Omega$ denote the canonical module of $R/I$. In this paper we first prove the equivalence of the following: the non-vanishing of the edge homomorphism
Externí odkaz:
http://arxiv.org/abs/1506.06420
In this paper we construct free resolutions of certain class of closed subvarieties of affine spaces (the so-called "opposite big cells" of Grassmannians). Our class covers the determinantal varieties, whose resolutions were first constructed by A. L
Externí odkaz:
http://arxiv.org/abs/1504.04415
Autor:
Dutta, Sankar P.
We address two aspects of finitely generated modules of finite projective dimension over local rings and their connection in between: embeddability and grade of order ideals of minimal generators of syzygies. We provide a solution of the embeddabilit
Externí odkaz:
http://arxiv.org/abs/1407.0096
For any ring R we construct two triangulated categories, each admitting a functor from R-modules that sends projective and injective modules to 0. When R is a quasi-Frobenius or Gorenstein ring, these triangulated categories agree with each other and
Externí odkaz:
http://arxiv.org/abs/1405.5768
Autor:
Reid, Miles
I describe the projective resolution of a codimension 4 Gorenstein ideal, aiming to extend Buchsbaum and Eisenbud's famous result in codimension 3. The main result is a structure theorem stating that the ideal is determined by its (k+1) x 2k matrix o
Externí odkaz:
http://arxiv.org/abs/1304.5248
Autor:
Seifullin, Timur R.
Publikováno v:
Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2000, no. 6, 26-34. MR1835215
The object of the paper is the dependence of Koszul complexes and dependence of dual Koszul complexes of two systems of non-homogeneous polynomials, when one system is a part of other system, in connection with the duality in a Koszul complex establi
Externí odkaz:
http://arxiv.org/abs/1205.0621
Autor:
Seifullin, Timur R.
Publikováno v:
Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 1997, no. 9, 43-49. MR1673647 (99m:13030)
For a system of non-homogeneous polynomials it was constructed explicit complex morphism of a dual complex to the Koszul complex into the Koszul complex. If the ideal of these polynomials is 0-dimensional, then this mapping is a homotopic equivalence
Externí odkaz:
http://arxiv.org/abs/1205.0472