Results 51 to 60 of about 600 (183)
Polarization and Gorenstein liaison
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen–Macaulay subscheme of Pn$\mathbb {P}^n$ can be G‐linked to a complete intersection. Migliore and Nagel showed that if such a scheme is generically Gorenstein (e.g., reduced), then, after re‐embedding so that it is viewed as a subscheme of Pn ...
Sara Faridi +3 more
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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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Cohomological and projective dimensions [PDF]
Compositio Mathematica, 2013 AbstractLet $\mathfrak{a}$ be a homogeneous ideal of a polynomial ring $R$ in $n$ variables over a field $\mathbb{k}$. Assume that $\mathrm{depth} (R/ \mathfrak{a})\geq t$, where $t$ is some number in $\{ 0, \ldots , n\} $. A result of Peskine and Szpiro says that if $\mathrm{char} (\mathbb{k})\gt 0$, then the local cohomology modules ${ H}_{\mathfrak ...
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The shift‐homological spectrum and parametrising kernels of rank functions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
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Calculating the virtual cohomological dimension of the automorphism group of a RAAG [PDF]
, 2020 Matthew B. Day +2 more
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Real models for the framed little n$n$‐disks operads
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
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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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Floer theory for the variation operator of an isolated singularity
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae +3 more
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Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
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Arithmetical rank and cohomological dimension of generalized binomial edge ideals [PDF]
, 2022 Anargyros Katsabekis
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