Results 61 to 70 of about 1,003,210 (193)
The CAT(0) dimension of 3-generator Artin groups
, 2002 The three generator Artin groups A(m,n.2) are known to be have CAT(O) dimension strictly greater than two if both m and n are odd [BC]. In Chapter 1 we introduce the notions of CAT(O) dimension and three generator Artingroups.In Chapter 2 we show that if
Hanham, Paul Edward
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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
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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
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Manin's conjecture for integral points on toric varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We formulate a conjecture on the number of integral points of bounded height on log Fano varieties in analogy with Manin's conjecture on the number of rational points of bounded height on Fano varieties. We also give a prediction for the leading constant that is similar to Peyre's interpretation of the leading constant in Manin's conjecture ...
Tim Santens
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On the Auslander–Reiten theory for extended hearts of proper connective dg algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that, for a proper connective dg algebra A$A$ with cohomology concentrated in degrees between 1−d$1-d$ and 0, the extended heart Dfd(A)(−d,0]⊆Dfd(A)$\mathcal {D}^{\mathrm{fd}}(A)^{(-d,0]}\subseteq \mathcal {D}^{\mathrm{fd}}(A)$ is an extriangulated category with almost‐split conflations.
Nao Mochizuki, Marvin Plogmann
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Semigroups of Cohomological Dimension One
Journal of Algebra, 1998 The aim of this paper is to prove that any bilaterally cancellative semigroup \(S\) of cohomological dimension \(1\) is embeddable into a group, in fact, it is proved that \(S\) is an \(L_\infty\) semigroup. It is known that the converse is not true. Some properties of cyclic systems of equations in cancellative semigroups of cohomological dimension ...
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Quasifinite fields of prescribed characteristic and Diophantine dimension
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet ℙ be the set of prime numbers, ℙ the union ℙ ∪ {0}, and for any field E, let char(E) be its characteristic, ddim(E) the Diophantine dimension of E, 𝒢E the absolute Galois group of E, and cd(𝒢E) the Galois cohomological dimension 𝒢E.
Chipchakov Ivan D., Paunov Boyan B.
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On the Gorenstein and cohomological dimension of groups
Proceedings of the American Mathematical Society, 2014 Here we relate the Gorenstein dimension of a group G G ,
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Normal subgroups of profinite groups of finite cohomological dimension
, 2015 A profinite group G of finite cohomological dimension with (topologically) finitely generated closed normal subgroup N is studied. If G is pro-p and N is either free as a pro-p group or a Poincare group of dimension 2 or analytic pro-p, it is shown that ...
Zalesskii, P. A. +3 more
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A shape theoretic approach to generalized cohomological dimension with respect to topological spaces [PDF]
, 2014 A. N. Dranishnikov introduced the notion of generalized cohomological dimension of compact metric spaces with respect to CW spectra. In this paper, taking an inverse system approach, we generalize this definition and obtain two types of generalized ...
Miyata, Takahisa, Takahisa Miyata
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