Results 41 to 50 of about 101 (90)

Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3597-3613, November 2025.
Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi   +3 more
wiley   +1 more source

The geometry and arithmetic of bielliptic Picard curves

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley   +1 more source

A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley   +1 more source

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

© Hindawi Publishing Corp. CS-MODULES AND ANNIHILATOR CONDITIONS

open access: yes, 2002
We study S-R-bimodules SMR with the annihilator condition S = lS(A)+ lS(B) for any closed submodule A, and a complement B of A, in MR. Such annihila-tor condition has a direct connection with the CS-condition for MR.
Amany M. Menshawy, Mahmoud A. Kamal
core  

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

Potent Elements and Tight Closure in Artinian Modules. [PDF]

open access: yes, 2008
In this thesis we develop the theory of potent elements, a new method for studying the question of whether tight closure equals finitistic tight closure for the zero submodule of an arbitrary Artinian module. G. Lyubeznik and K. E.
Stubbs, Joe
core  

Limits of saturated ideals

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We investigate the question of when a given homogeneous ideal is a limit of saturated ones. We provide cohomological necessary criteria for this to hold and apply them to a range of examples. In small cases, we characterise the limits. We also supply a number of auxiliary results on the classical and multigraded Hilbert schemes, for example ...
Joachim Jelisiejew, Tomasz Mańdziuk
wiley   +1 more source

On Quasi-Harada Rings

open access: yes, 1996
M. Harada (“Ring Theory, Proceedings of 1978 Antwerp Conference,” pp. 669–690, Dekker, New York, 1979) studied the following two conditions:(*) Every non-small leftR-module contains a non-zero injective submodule.(*)* Every non-cosmall rightR-module ...
Baba, Yoshitomo, Iwase, Kenichi
core   +1 more source

Another look at rational torsion of modular Jacobians. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Ribet KA, Wake P.
europepmc   +1 more source

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