Results 51 to 60 of about 1,593,546 (194)
Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
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Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
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Periodicity Shadows II: Computational Aspects
MathematicsThis article is the second part of the research project initiated last year, in which we introduced and investigated so-called periodicity shadows, i.e.
Jerzy Białkowski, Adam Skowyrski
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Recognising flag varieties and reductive groups
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract Fix a flat and projective morphism X→Σ$X\rightarrow \Sigma$ of schemes. We show, first, that any set of P1${\mathbb {P}}^1$‐fibrations on X$X$ defines a set of simple roots, a set of simple coroots and a Cartan matrix C$C$. Second, X$X$ is an étale F${\mathcal {F}}$‐bundle over some projective Σ$\Sigma$‐scheme, where F${\mathcal {F}}$ is the ...
Ian Grojnowski +1 more
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On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
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A new relation among Cartan matrix and Coxeter matrix
Journal of Algebra, 1987 The object of the paper is to show a relation between invariants of a root system R of type \(A_{\ell}\) (\(\ell odd)\), \(D_{\ell}, E_ 6, E_ 7\), or \(E_ 8\). On the one hand there are invariants p, q, r, and d associated to a Cartan matrix of R as follows.
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Type II degenerations of K3 surfaces of degree 4
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We study Type II degenerations of K3 surfaces of degree 4 where the central fibre consists of two rational components glued along an elliptic curve. Such degenerations are called Tyurin degenerations. We construct explicit Tyurin degenerations corresponding to each of the 1‐dimensional boundary components of the Baily–Borel compactification of
James Matthew Jones
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Decomposition of Cartan matrix and conjectures on Brauer character degrees [PDF]
, 2010 设g为有限群,n是g的正规子群.记J=J(f[n])为f[n]的JACObSOn根,I=Ann(J)={α∈f[g]|Jα=0}为J在f[g]中的零化子.本文主要研究了,根据f[g/n]和f[g]/I的CArTAn矩阵,分解f[g]的CArTAn矩阵.这种分解在CArTAn不变量和g的合成因子之间建立了一些联系.本文指出n中P-亏零块的存在性依赖于CArTAn不变量或者I在f[g]中的性质,证明了CArTAn矩阵的分解部分地依赖于b所覆盖的n中的块的性质.本文研究了b为n上的块且l(b)=1时 ...
曾吉文, 司华斌, 王慧群
core
Fortschritte der Physik, Volume 74, Issue 6, June 2026.ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
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