Results 11 to 20 of about 699 (113)

Local cohomology and support for triangulated categories [PDF]

, 2007
We propose a new method for defining a notion of support for objects in any compactly generated triangulated category admitting small co- products. This approach is based on a construction of local cohomology func- tors on triangulated categories, with ...
D. Benson, Srikanth B. Iyengar, H. Krause   +2 more
semanticscholar   +1 more source

On certain rings of differentiable type and finiteness properties of local cohomology [PDF]

, 2012
Let $R$ be a commutative $F$-algebra, where $F$ is a field of characteristic 0, satisfying the following conditions: $R$ is equidimensional of dimension $n$, every residual field with respect to a maximal ideal is an algebraic extension of $F,$ and ...
L. Núñez-Betancourt
semanticscholar   +1 more source

Representations of Finite Groups: Local Cohomology and Support [PDF]

, 2011
Preface.- 1 Monday.- 1.1 Overview.- 1.2 Modules over group algebras.- 1.3 Triangulated categories.- 1.4 Exercises.- 2 Tuesday.- 2.1 Perfect complexes over commutative rings.- 2.2 Brown representability and localization.- 2.3 The stable module category of
D. Benson, Srikanth B. Iyengar, H. Krause   +2 more
semanticscholar   +1 more source

Unstable elements in cohomology and a question of Lescot [PDF]

Mathematische Zeitschrift
In his work on the Bass series of syzygy modules of modules over a commutative noetherian local ring R, Lescot introduces a numerical invariant, denoted σ(R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Srikanth B. Iyengar, Sarasij Maitra, Tim Tribone   +2 more
semanticscholar   +1 more source

On some local cohomology invariants of local rings [PDF]

, 2006
Let A be a commutative Noetherian local ring containing a field of characteristic p>0. The integer invariants λi,j(A) have been introduced in an old paper of ours.
G. Lyubeznik
semanticscholar   +1 more source

On the finiteness of Bass numbers of local cohomology modules over Noetherian regular local rings

, 2016
Let R be a commutative Noetherian regular local ring containing a field. Let I be an ideal of R and let ` 0 be an integer. In this paper it is shown that for every finitely generated R-module M and each integer i `, the Bass numbers of the R-module H i I
Y. Irani
semanticscholar   +1 more source

Local cohomology in classical rings

, 1992
The aim of this paper is to establish the close connection between prime ideals and torsion theories in a non necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in
José Luis Bueso Montero, P. J. Martínez   +1 more
semanticscholar   +2 more sources

Establishing Shape Correspondences: A Survey

Computer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source

Local multiplicativity of perverse filtrations

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley   +1 more source

The support of local cohomology modules [PDF]

, 2015
We describe the support of $F$-finite $F$-modules over polynomial rings $R$ of prime characteristic. Our description yields an algorithm to compute the support of such modules; the complexity of our algorithm is also analyzed.
Mordechai Katzman, Wen-Liang Zhang
semanticscholar   +1 more source