Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Peter Schenzel"'
Autor:
Peter Schenzel, Markus Brodmann
Publikováno v:
Journal of Symbolic Computation. 104:874-898
We classify embedded blowups of the real affine plane up to oriented isomorphy. We show that two blowups in the same isomorphism class are isotopic, using a matrix deformation argument similar to an idea given by Shastri. This answers two questions w
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We present various approaches to J. Herzog's theory of generalized local cohomology and explore its main aspects, e.g., (non-)vanishing results as well as a general local duality theorem which extends, to a much broader class of rings, previous resul
Autor:
Peter Schenzel
Publikováno v:
Vietnam Journal of Mathematics. 49:1227-1256
In the main results of the paper it is shown that the Cech (co-) homology might be considered as an appropriate Koszul (co-) homology. Let $\check {C}_{\underline {x}}$ denote the Cech complex with respect to a system of elements $\underline {x} = x_
Autor:
Peter Schenzel
Publikováno v:
Commutative Algebra. :169-180
Let M M denote a finitely generated module over a Noetherian ring R R . For an ideal I ⊂ R I \subset R there is a study of the endomorphisms of the local cohomology module H I g ( M ) , g = g r a d e ( I , M ) , H^g_I(M), g = grade(I,M), and relate
Autor:
Peter Schenzel, Anne-Marie Simon
Publikováno v:
Communications in Algebra. 48:3637-3650
Let $R$ a commutative ring, $\mathfrak{a} \subset R$ an ideal, $I$ an injective $R$-module and $S \subset R$ a multiplicatively closed set. When $R$ is Noetherian it is well-known that the $\mathfrak{a}$-torsion sub-module $\Gamma_{\mathfrak{a}}(I)$,
Autor:
Peter Schenzel
For given integers $m,n \geq 2$ there are examples of ideals $I$ of complete determinantal local rings $(R,\mathfrak{m}), \dim R = m+n-1, \operatorname{grade} I = n-1,$ with the canonical module $\omega_R$ and the property that the socle dimensions o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b89b185a9d7813049c7b16a8ad23241
http://arxiv.org/abs/2110.06749
http://arxiv.org/abs/2110.06749
Autor:
Peter Schenzel, M. Azeem Khadam
Publikováno v:
J. Commut. Algebra 12, no. 3 (2020), 353-370
Let $\mathfrak{q}$ denote an ideal of a local ring $(A,\mathfrak{m})$. For a system of elements $\underline{a} = a_1,\ldots,a_t$ such that $a_i \in \mathfrak{q}^{c_i}, i = 1, \ldots,t,$ and $n \in \mathbb{Z}$ we investigate a subcomplex resp. a facto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::631077a6d2fd8a7869603670838f5334
https://projecteuclid.org/euclid.jca/1599271223
https://projecteuclid.org/euclid.jca/1599271223
Autor:
Peter Schenzel
Let $\underline{x} = x_1,\ldots,x_k$ denote an ordered sequence of elements of a commutative ring $R$. Let $M$ be an $R$-module. We recall the two notions that $\underline{x}$ is $M$-proregular given by Greenlees and May (see \cite{[5]}) and Lipman (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f789592639b9672557bc823f8f559e6
Publikováno v:
Journal of Pure and Applied Algebra. 221:98-118
We study projective varieties $X \subset \mathbb{P}^r$ of dimension $n \geq 2$, of codimension $c \geq 3$ and of degree $d \geq c + 3$ that are of maximal sectional regularity, i.e. varieties for which the Castelnuovo-Mumford regularity $\reg (\mathc
Autor:
Peter Schenzel, Reza Naghipour
Publikováno v:
Rocky Mountain J. Math. 48, no. 2 (2018), 551-572
Let $R$ be a Noetherian ring, $N$ a finitely generated $R$-module and $I$ an ideal of $R$. It is shown that the sequences $Ass _R R/(I^n)_a^{(N)}$, $Ass _R (I^n)_a^{(N)}/ (I^{n+1})^{(N)}_a$ and $Ass _R (I^n)_a^{(N)}/ (I^n)_a$, $n= 1,2, \ldots $, of a