Results 41 to 50 of about 104 (95)

COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Romanian Journal of Mathematics and Computer Science, 2015
Let R be a commutative Noetherian ring, a and b ideals of R and let M and N be two finitely generated R-modules. In this paper, we study the cofiniteness of H_b^j(H_a^i(M, N)) in several cases.
FATEMEH DEHGHANI-ZADEH
doaj  

Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14

Mathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley   +1 more source

Some Results on Graded Generalized Local Cohomology Modules

Journal of Mathematical Extension, 2010
. Let R = ⊕n>0Rn be a graded Noetherian ring with local base ring R0 and let R+ = ⊕n>1Rn. Let M and N be finitely generated graded R-modules. In this paper we extend some of the known results about ordinary local cohomology modules Hi R+ (M) to ...
F. Dehghani-Zadeh, H. Zakeri
doaj  

Generalized local cohomology and quasicoherent sheaves

Journal of Algebra, 1991
La théorie de la localisation a été étendue aux anneaux non commutatifs, puis, de la, à la théorie des faisceaux. Dans ce droit fil, l'un des trois auteurs a introduit une théorie abstraite de localisation qui dans l'article est comparée avec deux théories de localisation dejà existantes.
Bueso, J.L., Torrecillas, B., Verschoren, A.   +2 more
openaire   +1 more source

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Weinstein neighborhood theorems for stratified subspaces

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract By analogy with Weinstein's neighborhood theorem, we prove a uniqueness result for symplectic neighborhoods of a large family of stratified subspaces. This result generalizes existing constructions, for example, in the search for exotic Lagrangians.
Yael Karshon, Sara B. Tukachinsky, Yoav Zimhony   +2 more
wiley   +1 more source

On the cofiniteness of generalized local cohomology modules

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020
Let \(R\) be a commutative noetherian ring, \(\mathfrak{a}\) an ideal of \(R\), and \(M\) and \(N\) two \(R\)-modules. Herzog defined the \(i\)th generalized local cohomology module of \(M\) and \(N\) with respect to \(\mathfrak{a}\) as follows: \[H^{i}_{\mathfrak{a}}(M,N) = \underset{n\in \mathbb{N}}\varinjlim \operatorname{Ext}^{i}_{R}(M/\mathfrak{a}^
Vahdanipour, Farzaneh, Bahmanpour, Kamal, Ghasemi, Ghader   +2 more
openaire   +2 more sources

Heights on ‘hybrid orbits’ in Shimura varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source

Generalized Local Homology Modules of Complexes

پژوهش‌های ریاضی, 2017
The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using ...
Fatemeh Mohammadi
doaj  

Recognising flag varieties and reductive groups

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract Fix a flat and projective morphism X→Σ$X\rightarrow \Sigma$ of schemes. We show, first, that any set of P1${\mathbb {P}}^1$‐fibrations on X$X$ defines a set of simple roots, a set of simple coroots and a Cartan matrix C$C$. Second, X$X$ is an étale F${\mathcal {F}}$‐bundle over some projective Σ$\Sigma$‐scheme, where F${\mathcal {F}}$ is the ...
Ian Grojnowski, Nicholas Shepherd‐Barron   +1 more
wiley   +1 more source