Results 41 to 50 of about 185 (137)
ARTINIANNESS OF LOCAL COHOMOLOGY MODULES
Honam Mathematical Journal, 2016 In this paper we investigate the Artinianness of certain local cohomology modules H i I(N) where N is a minimax module over a commutative Noetherian ring R and I is an ideal of R. Also, we characterize the set of attached prime ideals of H n (N), where n is the dimension of N.
Ahmad Abbasi +2 more
openaire +2 more sources
de Rham Cohomology of Local Cohomology Modules
, 2016 Let K be a field of characteristic zero and let \(\mathcal {O}_n\) be the ring \(K[[X_1,\ldots ,X_n]]\). Let \(\mathcal {D}_n = \mathcal {O}_n[\partial _1,\ldots ,\partial _n]\) be the ring of K-linear differential operators on \(\mathcal {O}_n\). Let M be a holonomic \(\mathcal {D}_n\)-module. In this paper we prove \(H^i({\partial }, M) = 0\) for \(i
openaire +3 more sources
De Rahm Cohomology of Local Cohomology modules II
, 2013 Let $K$ be an algebraically closed field of characteristic zero and let $R = K[X_1,\ldots,X_n]$. Let $I$ be an ideal in $R$. Let $A_n(K)$ be the $n^{th}$ Weyl algebra over $K$. By a result of Lyubeznik, the local cohomology modules $H^i_I(R)$ are holonomic $A_n(K)$-modules for each $i \geq 0$.
Puthenpurakal, Tony J. +1 more
openaire +2 more sources
Cofinite modules and local cohomology
Journal of Pure and Applied Algebra, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Delfino, Donatella, Marley, Thomas
openaire +1 more source
Modules with finite Cousin cohomologies have uniform local cohomological annihilators
Journal of Algebra, 2008 9 pages, to appear in Journal of ...
Dibaei, Mohammad T., Jafari, Raheleh
openaire +3 more sources
de Rham cohomology of local cohomology modules: The graded case [PDF]
Nagoya Mathematical Journal, 2015 Abstract Let K be a field of characteristic zero, and let R = K[X1,… ,Xn]. Let An(K) = K⟨X1,… ,Xn,∂1,… ,∂n⟩ be the nth Weyl algebra over K. We consider the case when R and An(K) are graded by giving deg Xi = ωi and deg ∂i = –ωi for i = 1,…,n (here ωi are positive integers). Set . Let I be a graded ideal in R.
openaire +4 more sources
Regularity of 𝐅𝐈-modules and local cohomology
Proceedings of the American Mathematical Society, 2018 We resolve a conjecture of Ramos and Li that relates the regularity of an F I \mathbf {FI} -module to its local cohomology groups. This is an analogue of the familiar relationship between regularity and local cohomology in commutative algebra.
Nagpal, Rohit +2 more
openaire +2 more sources
On some local cohomology modules
Advances in Mathematics, 2007 Let R be a commutative Noetherian d-dimensional complete equicharacterisitc regular local ring and let I be an ideal of R such that every minimal prime over I has height at most c. Let v=d - [(d-2)/c]-1 and v'=d - [(d-1)/c]. It has been known that the i-th local cohomology module of any R-module M with support in I vanishes for i>v', and if I is ...
openaire +2 more sources
Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]
Commun Math Phys, 2023 Beem C, Nair S.
europepmc +1 more source
Slope classicality in higher Coleman theory via highest weight vectors in completed cohomology. [PDF]
Proc Natl Acad Sci U S A, 2022 Howe S.
europepmc +1 more source