Results 51 to 60 of about 6,262,439 (184)

Modular analogs of character formulas and minimal lifts of modular forms

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley   +1 more source

$D$-module and $F$-module length of local cohomology modules [PDF]

Transactions of the American Mathematical Society, 2018
Let $R$ be a polynomial or power series ring over a field $k$. We study the length of local cohomology modules $H^j_I(R)$ in the category of $D$-modules and $F$-modules. We show that the $D$-module length of $H^j_I(R)$ is bounded by a polynomial in the degree of the generators of $I$.
Katzman, M., Ma, L., Smirnov, I., Zhang, W.   +3 more
openaire   +4 more sources

h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley   +1 more source

On the Matlis duals of local cohomology modules

Proceedings of the American Mathematical Society, 2018
Let ( R , m )
Lyubeznik, Gennady, Yildirim, Tugba
openaire   +3 more sources

Matlis duals of top Local cohomology modules [PDF]

Proceedings of the American Mathematical Society, 2007
In the first section of this paper we present generalizations of known results on the set of associated primes of Matlis duals of local cohomology modules; we prove these generalizations by using a new technique. In section 2 we compute the set of associated primes of the Matlis dual of
Hellus, Michael, Stückrad, Jürgen
openaire   +2 more sources

Localization sequences for logarithmic topological cyclic homology

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes, Steffen Sagave, Christian Schlichtkrull   +2 more
wiley   +1 more source

On local cohomology modules

Journal of Pure and Applied Algebra, 1986
Let I be an ideal in an n-dimensional local ring (A,m). The Matlis dual of the local cohomology module \(H^{n}_{I}(A)^*\) is shown to be equal to a dual of a torsion submodule of the canonical module of \(\hat A\) (the completion of A). This generalizes results by R. Y. Sharp and J. Herzog - E. Kunz.
openaire   +1 more source

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

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

Cofiniteness of modules and local cohomology

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
Let $A$ be a commutative noetherian ring, let $\mathfrak a$ be an ideal of $A$ and let $n$ be a non-negative integer. In this paper, we study $\mathcal{S}_{n}(\mathfrak{a})$, a certain class of $A$-modules and we find some sufficient conditions so that a module belongs to $\mathcal{S}_{n}(\mathfrak{a})$.
Sabzeh, Hajar, Sazeedeh, Reza
openaire   +3 more sources