Results 181 to 190 of about 136,518 (295)

On the stack of 0‐dimensional coherent sheaves: Motivic aspects

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1607-1649, June 2025.
Abstract Let X$X$ be a variety. In this survey, we study (decompositions of) the motivic class, in the Grothendieck ring of stacks, of the stack Cohn(X)$\mathcal {C}\hspace{-2.5pt}{o}\hspace{-1.99997pt}{h}^n(X)$ of 0‐dimensional coherent sheaves of length n$n$ on X$X$. To do so, we review the construction of the support map Cohn(X)→Symn(X)$\mathcal {C}\
Barbara Fantechi, Andrea T. Ricolfi
wiley   +1 more source

On commutators of idempotents

open access: yesLinear and Multilinear Algebra
Let $T$ be an operator on Banach space $X$ that is similar to $- T$ via an involution $U$. Then $U$ decomposes the Banach space $X$ as $X = X_1 \oplus X_2$ with respect to which decomposition we have $U = \left(\begin{matrix} I_1 & 0 \\ 0 & -I_2 \end{matrix} \right)$, where $I_i$ is the identity operator on the closed subspace $X_i$ ($i=1, 2$).
openaire   +3 more sources

Parabolic subgroups in characteristics 2 and 3

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract This text brings to an end the classification of non‐reduced parabolic subgroups in positive characteristic, especially 2 and 3: they are all obtained as intersections of parabolics having maximal reduced part. We prove this result and deduce a few geometric consequences on rational projective homogeneous varieties.
Matilde Maccan
wiley   +1 more source

Profinite rigidity for free‐by‐cyclic groups with centre

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract A free‐by‐cyclic group FN⋊ϕZ$F_N\rtimes _\phi \mathbb {Z}$ has non‐trivial centre if and only if [ϕ]$[\phi]$ has finite order in Out(FN)${\rm {Out}}(F_N)$. We establish a profinite rigidity result for such groups: if Γ1$\Gamma _1$ is a free‐by‐cyclic group with non‐trivial centre and Γ2$\Gamma _2$ is a finitely generated free‐by‐cyclic group ...
Martin R. Bridson, Paweł Piwek
wiley   +1 more source

The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract Let p$p$ be a prime number and let d∈Z>0$d\in {\mathbb {Z}}_{>0}$. In this paper, following the analogy between knots and primes, we study the p$p$‐torsion growth in a compatible system of (Z/pnZ)d$({\mathbb {Z}}/p^n{\mathbb {Z}})^d$‐covers of 3‐manifolds and establish several analogues of Cuoco–Monsky's multivariable versions of Iwasawa's ...
Sohei Tateno, Jun Ueki
wiley   +1 more source

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