Results 21 to 30 of about 5,350,013 (268)

Overconvergent modular forms are highest-weight vectors in the Hodge-Tate weight zero part of completed cohomology

open access: yesForum of Mathematics, Sigma, 2021
We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
doaj   +1 more source

FALTINGS’ LOCAL-GLOBAL PRINCIPLE FOR THE MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A SYSTEM OF IDEALS [PDF]

open access: yesJournal of Algebraic Systems, 2023
Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local ...
F. Dehghani-Zadeh, A.R. Hajikarimi
doaj   +1 more source

On Some Local Cohomology Spectral Sequences [PDF]

open access: yesInternational mathematics research notices, 2018
We introduce a formalism to produce several families of spectral sequences involving the derived functors of the limit and colimit functors over a finite partially ordered set.
Josep Àlvarez Montaner   +2 more
semanticscholar   +1 more source

A note on Gersten’s conjecture for étale cohomology over two-dimensional henselian regular local rings

open access: yesComptes Rendus. Mathématique, 2020
We prove Gersten’s conjecture for étale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As an application, we obtain the local-global principle for Galois cohomology over mixed characteristic two ...
Sakagaito, Makoto
doaj   +1 more source

Length of local cohomology of powers of ideals [PDF]

open access: yesTransactions of the American Mathematical Society, 2017
Let R R be a polynomial ring over a field k k with irrelevant ideal m \mathfrak {m} and dimension d d .
Hailong Dao, Jonathan Montaño
semanticscholar   +1 more source

LOCAL COHOMOLOGY

open access: yes, 1967
Ian M. Aberbach, Thomas Polstra
semanticscholar   +2 more sources

On the properties of weak CM rings

open access: yes上海师范大学学报. 自然科学版, 2022
In this paper, we mainly study the properties of weak CM rings. It is a special class of Noetherian commutative rings, including Cohen-Macaulay rings, excellent rings and generalized Cohen-Macaulay rings, which can be characterized by local cohomology ...
XUE Wensi, ZHOU Caijun
doaj   +1 more source

FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES [PDF]

open access: yesJournal of Algebraic Systems, 2020
Let R be a commutative Noetherian ring. In this paper we consider some relations between filter regular sequence,regular sequence and system of parameters over R-modules.
J. Azami
doaj   +1 more source

Local cohomology of Du Bois singularities and applications to families [PDF]

open access: yesCompositio Mathematica, 2016
In this paper we study the local cohomology modules of Du Bois singularities. Let $(R,\mathfrak{m})$ be a local ring; we prove that if $R_{\text{red}}$ is Du Bois, then $H_{\mathfrak{m}}^{i}(R)\rightarrow H_{\mathfrak{m}}^{i}(R_{\text{red}})$ is ...
Linquan Ma   +2 more
semanticscholar   +1 more source

The Cohomology of Non-Locality and Contextuality [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2012
In Proceedings QPL 2011, arXiv:1210 ...
Samson Abramsky   +2 more
openaire   +6 more sources

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