Results 51 to 60 of about 121 (115)
Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
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
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ON VANISHING OF GENERALIZED LOCAL HOMOLOGY MODULES AND ITS DUALITY [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper we study the vanishing and non-vanishing of generalized local cohomology and generalized local homology. In particular for a Noetherian local ring (R;m) and two non-zero finitely generated R-modules M and N, it is shown that H_m^{dimN} (M ...
KARIM MOSLEHI, MOHAMMAD R. AHMADI
doaj
Entropy, 2019 Previous works established that entropy is characterized uniquely as the first cohomology class in a topos and described some of its applications to the unsupervised classification of gene expression modules or cell types.
Pierre Baudot
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A NOTE ON ENDOMORPHISMS OF LOCAL COHOMOLOGY MODULES
Bulletin of the Korean Mathematical Society, 2017 9 pages, to be appeared in Communication in Algebra,(2013)
Mahmood, Waqas, Zahid, Zohaib
openaire +3 more sources
On the cofiniteness of local cohomology modules [PDF]
Proceedings of the American Mathematical Society, 2008 Let \(I\) be an ideal of a noetherian ring \(R\) and let \(M\) be a finitely generated \(R\)-module. The local cohomology modules \(H^l_I(M)\) are not finitely generated in general. Even worse, in general, they have infinitely many associated prime ideals. However, there are certain positive finiteness results on local cohomology: For example, a result
Bahmanpour, Kamal, Naghipour, Reza
openaire +2 more sources
Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
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
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
On the asymptotic behaviour of graded generalized local cohomology modules [PDF]
Mathematical Sciences, 2011 Let ${R=igoplus_{ngeq 0}R_n}$ be a graded Noetherian ring withlocal base ring $R_0$ and let ${R_{+}=igoplus_{ngeq 1}R_n}$.Let $M$ and $N$ be finitely generated graded $R$-modules. In thispaper, we prove some results on the asymptotic behaviour of the$n$-
F. Dehghani-Zadeh
doaj