Results 31 to 40 of about 5,350,013 (268)

FROBENIUS ACTIONS ON LOCAL COHOMOLOGY MODULES AND DEFORMATION [PDF]

Nagoya mathematical journal, 2016
Let $(R,\mathfrak{m})$ be a Noetherian local ring of characteristic $p>0$ . We introduce and study $F$ -full and $F$ -anti-nilpotent singularities, both are defined in terms of the Frobenius actions on the local cohomology modules of $R$ supported at the
Linquan Ma, Pham Hung Quy
semanticscholar   +1 more source

The minimal exponent and k-rationality for local complete intersections [PDF]

Journal de l'École polytechnique. Mathématiques, 2022
We show that if $Z$ is a local complete intersection subvariety of a smooth complex variety $X$, of pure codimension $r$, then $Z$ has $k$-rational singularities if and only if $\widetilde{\alpha}(Z)>k+r$, where $\widetilde{\alpha}(Z)$ is the minimal ...
Qianyu Chen, B. Dirks, Mircea Mustactua
semanticscholar   +1 more source

On Finiteness Properties of Local Cohomology Modules [PDF]

, 2022
openThis thesis has its foundations in the fields of homological and commutative algebra, in particular in the study of local cohomology. Local cohomology was introduced by Grothendieck in the early 1960s, in part to answer a conjecture of Pierre Samuel ...
SABATINI, ENRICO
core  

Exactly solvable lattice Hamiltonians and gravitational anomalies

SciPost Physics, 2023
We construct infinitely many new exactly solvable local commuting projector lattice Hamiltonian models for general bosonic beyond group cohomology invertible topological phases of order two and four in any spacetime dimensions, whose boundaries are ...
Yu-An Chen, Po-Shen Hsin
doaj   +1 more source

Local cohomology of binomial edge ideals and their generic initial ideals

Collectanea Mathematica, 2019
We provide a Hochster type formula for the local cohomology modules of binomial edge ideals. As a consequence we obtain a simple criterion for the Cohen–Macaulayness and Buchsbaumness of these ideals and we describe their Castelnuovo–Mumford regularity ...
Josep Àlvarez Montaner
semanticscholar   +1 more source

Depth and the Local Cohomology of FI_G-modules [PDF]

, 2016
In this paper we describe a machinery for homological calculations of representations of FI_G, and use it to develop a local cohomology theory over any commutative Noetherian ring. As an application, we show that the depth introduced by the second author
Liping Li, Eric Ramos
semanticscholar   +1 more source

On the annihilators of generalized local cohomology modules [PDF]

Journal of Mahani Mathematical Research
Let ${\frak{a}}$ be an ideal of Noetherian  ring $R$ and $M$, $N$ be two finitely generated  $R$-modules. In this paper, we obtain some results about  the annihilators of  top generalized local cohomology modules.
Shahram Rezaei
doaj   +1 more source

Locally constant cohomology [PDF]

Transactions of the American Mathematical Society, 1992
In this paper we study locally constant cohomology theories on a space X X .
openaire   +2 more sources

On the minimaxness and coatomicness of local cohomology modules [PDF]

, 2022
summary:Let $R$ be a commutative Noetherian ring, $I$ an ideal of $R$ and $M$ an $R$-module. We wish to investigate the relation between vanishing, finiteness, Artinianness, minimaxness and $\mathcal {C}$-minimaxness of local cohomology modules.
Roshan-Shekalgourabi, Hajar, Hatamkhani, Marzieh   +1 more
core   +1 more source

One the P-Adic Local Invariant Cycle Theorem [PDF]

, 2012
The aim of this paper is to consider the $p$-adic local invariant cycle theorem in the mixed characteristic case. In the first part of the paper, via case-by-case discussion, we construct the $p$-adic specialization map, and then write out the ...
Wu, Yi-Tao
core   +1 more source