Results 71 to 80 of about 1,625,403 (282)
Moduli of finite flat torsors over nodal curves
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We show that log flat torsors over a family X/S$X/S$ of nodal curves under a finite flat commutative group scheme G/S$G/S$ are classified by maps from the Cartier dual of G$G$ to the log Jacobian of X$X$. We deduce that fppf torsors on the smooth fiberss of X/S$X/S$ can be extended to global log flat torsors under some regularity hypotheses.
Sara Mehidi, Thibault Poiret
wiley +1 more source
Advanced Science, Volume 12, Issue 23, June 20, 2025.This study proposes novel operational schemes to solve the write disturbance issues in oxide‐semiconductor and capacitor‐based synaptic devices (6T1C devices). These schemes effectively neutralize disturbances, enabling high‐performance on‐chip training of convolutional neural networks and reducing capacitor size over 100 times.
Jaehyeon Kang +6 more
wiley +1 more source
A simplification functor for coalgebras
International Journal of Mathematics and Mathematical Sciences, 2006 For an arbitrary-type functor F, the notion of split coalgebras, that is, coalgebras for which the canonical projections onto the simple factor split, generalizes the well-known notion of simple coalgebras. In case F weakly preserves kernels, the passage
Maurice Kianpi, Celestin Nkuimi Jugnia
doaj +1 more source
, 2016 Considering a (co)homology theory $\mathbb{T}$ on a base category $\mathcal{C}$ as a fragment of a first-order logical theory we here construct an abelian category $\mathcal{A}[\mathbb{T}]$ which is universal with respect to models of $\mathbb{T}$ in ...
Barbieri-Viale, L.
core +1 more source
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
Coalgebraic Behavioral Metrics [PDF]
Logical Methods in Computer Science, 2018 We study different behavioral metrics, such as those arising from both branching and linear-time semantics, in a coalgebraic setting. Given a coalgebra $\alpha\colon X \to HX$ for a functor $H \colon \mathrm{Set}\to \mathrm{Set}$, we define a framework ...
Paolo Baldan +3 more
doaj +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
On Flat Objects of Finitely Accessible Categories
The Scientific World Journal, 2013 Flat objects of a finitely accessible additive category are described in terms of some objects of the associated functor category of , called strongly flat functors.
Septimiu Crivei
doaj +1 more source
An ordered framework for partial multivalued functors
, 2015 The category Rel of sets and relations intimately ties the notions of function, partial multivalued function, and direct image under a function through the description of Rel as the Kleisli category of the covariant power set functor on Set. We present a
Chand, Alveen, Weiss, Ittay
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Parabolic subgroups in characteristics 2 and 3
Journal 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