Results 41 to 50 of about 12,090 (94)
The relative Hodge–Tate spectral sequence for rigid analytic spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley +1 more source
On the injective dimension of unit Cartier and unit Frobenius modules
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2006-2017, July 2025.Abstract Let R$R$ be a regular F$F$‐finite ring of prime characteristic p$p$. We prove that the injective dimension of every unit Frobenius module M$M$ in the category of unit Frobenius modules is at most dim(SuppR(M))+1$\dim (\operatorname{Supp}_R(M))+1$.
Manuel Blickle +3 more
wiley +1 more source
Étale motives of geometric origin
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2116-2131, July 2025.Abstract Over qcqs finite‐dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question ‘Do all constructible étale motives come from geometry?’ which dates back to Cisinski and Déglise's work.
Raphaël Ruimy, Swann Tubach
wiley +1 more source
The Gorenstein defect category [PDF]
, 2014 We consider the homotopy category of complexes of projective modules over a Noetherian ring. Truncation at degree zero induces a fully faithful triangle functor from the totally acyclic complexes to the stable derived category.
Bergh, Petter Andreas +2 more
core
Preservation for generation along the structure morphism of coherent algebras over a scheme
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1885-1896, June 2025.Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley +1 more source
The enveloping algebra of a Lie algebra of differential operators
, 2020 The aim of this note is to prove various general properties of a generalization of the full module of first order differential operators on a commutative ring - a $\operatorname{D}$-Lie algebra.
Maakestad, Helge Øystein
core
Acyclicity versus total acyclicity for complexes over noetherian rings [PDF]
, 2006 It is proved that for a commutative noetherian ring with dualizing complex the homotopy category of projective modules is equivalent, as a triangulated category, to the homotopy category of injective modules. Restricted to compact objects, this statement
Iyengar, Srikanth, Krause, Henning
core +1 more source
On the stack of 0‐dimensional coherent sheaves: Motivic aspects
Bulletin 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)$\mathcal {C}\
Barbara Fantechi, Andrea T. Ricolfi
wiley +1 more source
The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract Let p$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
Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum. [PDF]
Math Ann, 2023 Bik A, Danelon A, Draisma J.
europepmc +1 more source