Results 61 to 70 of about 121 (115)

Algebraic properties of the binomial edge ideal of a complete bipartite graph

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
Let JG denote the binomial edge ideal of a connected undirected graph on n vertices. This is the ideal generated by the binomials xiyj − xjyi, 1 ≤ i < j≤ n, in the polynomial ring S = K[x1, . . . , xn, y1, . . . , yn] where {i, j} is an edge of G.
Schenzel Peter, Zafar Sohail
doaj   +1 more source

A birational description of the minimal exponent

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley   +1 more source

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Cohomological dimension and top local cohomology modules

Rocky Mountain Journal of Mathematics, 2019
Let \(R\) be a commutative Noetherian ring with identity. Let \(I\) be an ideal of \(R\) and \(M\) a finitely generated \(R\)-module. The authors prove some interesting results concerning the notion of cohomological dimension. The \textit{cohomological dimension} of \(M\) with respect to \(I\) is defined as \[ \text{cd}(I,M):=\sup\{i\in \mathbb{N}_0 ...
Erdoğdu, Vahap, Yıldırım, Tuğba
openaire   +2 more sources

Weinstein neighborhood theorems for stratified subspaces

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract By analogy with Weinstein's neighborhood theorem, we prove a uniqueness result for symplectic neighborhoods of a large family of stratified subspaces. This result generalizes existing constructions, for example, in the search for exotic Lagrangians.
Yael Karshon, Sara B. Tukachinsky, Yoav Zimhony   +2 more
wiley   +1 more source

Heights on ‘hybrid orbits’ in Shimura varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source

Higher Derivations and Local Cohomology Modules

Journal of Algebra, 1998
In the present paper, the author studies local cohomology modules of a regular local ring \(R\) with respect to a non-maximal ideal. \textit{C. I. Huneke} and \textit{R. Y. Sharp} [Trans. Am. Math. Soc. 339, No. 2, 765-779 (1993; Zbl 0785.13005)] and \textit{G. Lyubeznik} [Invent. Math. 113, No. 1, 41-55 (1993; Zbl 0795.13004)] studied such modules if \
openaire   +2 more sources

Recognising flag varieties and reductive groups

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract Fix a flat and projective morphism X→Σ$X\rightarrow \Sigma$ of schemes. We show, first, that any set of P1${\mathbb {P}}^1$‐fibrations on X$X$ defines a set of simple roots, a set of simple coroots and a Cartan matrix C$C$. Second, X$X$ is an étale F${\mathcal {F}}$‐bundle over some projective Σ$\Sigma$‐scheme, where F${\mathcal {F}}$ is the ...
Ian Grojnowski, Nicholas Shepherd‐Barron   +1 more
wiley   +1 more source

Torsion pairs via the Ziegler spectrum

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We establish a bijection between torsion pairs in the category of finite‐dimensional modules over a finite‐dimensional algebra A$A$ and pairs (Z,I)$(\mathcal {Z},\mathcal {I})$ formed by a closed rigid set Z$\mathcal {Z}$ in the Ziegler spectrum of A$A$ and a set I$\mathcal {I}$ of indecomposable injective A$A$‐modules. This is as an extension
Lidia Angeleri Hügel, Rosanna Laking, Francesco Sentieri   +2 more
wiley   +1 more source

$p$-torsion elements in local cohomology modules [PDF]

Mathematical Research Letters, 2000
We construct an example where a local cohomology module of a hypersurface has p-torsion elements for every prime integer p, and consequently has infinitely many associated prime ideals. We also answer a related question of Hochster.
openaire   +2 more sources