Results 71 to 80 of about 6,123,729 (220)

Local Cohomology Modules and Relative Cohen-Macaulayness

Discussiones Mathematicae - General Algebra and Applications, 2018
Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
doaj   +1 more source

Deformation of singular foliations, 1: Local deformation cohomology

Comptes Rendus. Mathématique, 2020
In this paper we introduce the notion of deformation cohomology for singular foliations and related objects (namely integrable differential forms and Nambu structures), and study it in the local case, i.e., in the neighborhood of a point.
Monnier, Philippe, Nguyen, Tien Zung
doaj   +1 more source

Scalable Computation of Topological Abstractions for Scalar Data

Computer Graphics Forum, EarlyView.
Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will, J. Lukasczyk, J. Tierny, A. Gyulassy, G. H. Weber, H. Carr, C. Garth   +6 more
wiley   +1 more source

Symplectic Bott-Chern cohomology of solvmanifolds [PDF]

, 2013
We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T.
Daniele Angella, Hisashi Kasuya, Kasuya, Hisashi, Angella, Daniele   +3 more
core  

ABSTRACT LOCAL COHOMOLOGY FUNCTORS [PDF]

, 2010
We propose to define the notion of abstract local cohomology functors. The ordinary local cohomology functor RΓI with support in the closed subset defined by an ideal I and the generalized local cohomology functor RΓI,J defined in [16] are characterized ...
Takeshi Yoshizawa, Yoshino, Yuji, Yuji Yoshino, Yoshizawa, Takeshi   +3 more
core   +1 more source

Tangent Blow‐Ups for Processing Non‐Manifold Geometry

Computer Graphics Forum, EarlyView.
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov, Mohammad Sina Nabizadeh, Ana Dodik, Justin Solomon   +3 more
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

Local Cohomology of Modules of Covariants

Advances in Mathematics, 1999
Let \(G\) be a connected reductive algebraic group and \(U\) an irreducible finite dimensional representation of \(G\) and \(S\) the simple roots of \(G\). Then \(G\) acts on the polynomial ring \(R=SU\) associated to \(U\), and \(R^G\) is Cohen-Macaulay by the Hochster-Robert theorem. A conjecture of Stanley [proved partially by the author: \textit{M.
openaire   +2 more sources

Integral cohomology and chern classes of the special linear group over the ring of integers [PDF]

, 2001
This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique, Ausoni, Christian, Mimura, Mamoru, Yagita, Nobuaki   +3 more
core   +1 more source

The mod 2 Seiberg–Witten invariants of spin structures and spin families

Journal of Topology, Volume 19, Issue 4, December 2026.
Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold X$X$. Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐manifolds and thus computes the mod 2 Seiberg–Witten invariants for spin ...
David Baraglia
wiley   +1 more source