Results 71 to 80 of about 6,262,439 (184)
A NOTE ON ENDOMORPHISMS OF LOCAL COHOMOLOGY MODULES
Bulletin of the Korean Mathematical Society, 2017 9 pages, to be appeared in Communication in Algebra,(2013)
Mahmood, Waqas, Zahid, Zohaib
openaire +3 more sources
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
COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Romanian Journal of Mathematics and Computer Science, 2015 Let R be a commutative Noetherian ring, a and b ideals of R and let M and N be two finitely generated R-modules. In this paper, we study the cofiniteness of H_b^j(H_a^i(M, N)) in several cases.
FATEMEH DEHGHANI-ZADEH
doaj
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 +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 +2 more
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
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Syntomic cohomology and real topological cyclic homology
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley +1 more source
Lefschetz decompositions of Kudla–Millson theta functions
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley +1 more source
The asymptotic Mahler measure of Gaussian periods
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +2 more
wiley +1 more source
Vanishing results for the cohomology of complex toric hyperplane complements [PDF]
Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus and ? = ?1(R). We show that H*(R;A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of ...
Simona Settepanella, Mike W. Davis
core