Results 101 to 110 of about 5,350,013 (268)
Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Local cohomology with support in generic determinantal ideals [PDF]
, 2013 For positive integers m >= n >= p, we compute the GL_m x GL_n-equivariant description of the local cohomology modules of the polynomial ring S of functions on the space of m x n matrices, with support in the ideal of p x p minors. Our techniques allow us
Claudiu Raicu, J. Weyman
semanticscholar +1 more source
Some properties of generalized local cohomology modules with respect to a pair of ideals [PDF]
International journal of algebra and computation, 2013 We introduce a notion of generalized local cohomology modules with respect to a pair of ideals $(I,J)$ which is a generalization of the concept of local cohomology modules with respect to $(I,J).$ We show that generalized local cohomology modules $H^i_ ...
T. Nam +2 more
semanticscholar +1 more source
Local homology and cohomology on schemes [PDF]
Annales Scientifiques de l’École Normale Supérieure, 1997 DVI file pub/lipman/homology.dvi (214776K, 38 pages) available via anonymous ftp (binary) at ftp.math.purdue.edu, AMSLaTeX v 1 ...
Alonso Tarrío, Leovigildo +2 more
openaire +3 more sources
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source
Local cohomology modules of a smooth $\mathbb{Z}$-algebra have finitely many associated primes [PDF]
, 2013 Let R be a commutative Noetherian ring that is a smooth $\mathbb {Z}$-algebra. For each ideal $\mathfrak {a}$ of R and integer k, we prove that the local cohomology module $H^{k}_{\mathfrak {a}}(R)$ has finitely many associated prime ideals. This settles
B. Bhatt +4 more
semanticscholar +1 more source
On The Cohomological Dimension of Local Cohomology Modules
, 2015 Let $R$ be a Noetherian ring, $I$ an ideal of $R$ and $M$ an $R$-module with $\operatorname{cd}(I,M)=c$. In this article, we first show that there exists a descending chain of ideals $I=I_c\supsetneq I_{c-1}\supsetneq \cdots \supsetneq I_0$ of $R$ such that for each $0\leq i\leq c-1$, $\operatorname{cd}(I_i,M)=i$ and that the top local cohomology ...
Erdoǧdu, Vahap, Yıldırım, Tuǧba
openaire +2 more sources
Twisted ambidexterity in equivariant homotopy theory
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source
Journal of High Energy Physics, 2021 We explore BPS quivers for D = 5 theories, compactified on a circle and geometrically engineered over local Calabi-Yau 3-folds, for which many of known machineries leading to (refined) indices fail due to the fine-tuning of the superpotential.
Zhihao Duan, Dongwook Ghim, Piljin Yi
doaj +1 more source
Cohomological dimension filtration and annihilators of top local cohomology modules [PDF]
, 2013 Let $\frak a$ denote an ideal in a commutative Noetherian ring $R$ and $M$ a finitely generated $R$-module. In this paper, we introduce the concept of the cohomological dimension filtration $\mathscr{M} =\{M_i\}_{i=0}^c$, where $ c={\rm cd} ({\frak a},M)$
Ali Atazadeh, M. Sedghi, R. Naghipour
semanticscholar +1 more source