Results 81 to 90 of about 2,701,761 (237)

Pseudofinite groups as fixed points in simple groups of finite Morley rank [PDF]

arXiv, 2012
We prove that if the group of fixed points of a generic automorphism of a simple group of finite Morley rank is pseudofinite, then this group is an extension of a (twisted) Chevalley group over a pseudofinite field. On the way to obtain this result, we classify non-abelian definably simple pseudofinite groups of finite centralizer dimension (using the ...
arxiv  

Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona, Mattia Cavicchi, Robert Laterveer, Giulia Saccà   +3 more
wiley   +1 more source

Blocks with abelian defect groups of rank 2 and one simple module [PDF]

arXiv, 2019
In this paper, we investigate the block that has an abelian defect group of rank $2$ and its Brauer correspondent has only one simple module. We will get an isotypy between the block and its Brauer correspondent. It will generalize the result of Kessar and Linckelmann (\cite{KL}).
arxiv  

Local spectral estimates and quantitative weak mixing for substitution Z${\mathbb {Z}}$‐actions

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract The paper investigates Hölder and log‐Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed that the substitution is primitive, aperiodic, and its substitution matrix is irreducible over the rationals.
Alexander I. Bufetov, Juan Marshall‐Maldonado, Boris Solomyak   +2 more
wiley   +1 more source

Sharply 2-transitive groups of finite Morley rank [PDF]

arXiv, 2018
A sharply 2-transitive permutation group of finite Morley rank and characteristic 2 splits; a split sharply 2-transitive permutation group of finite Morley rank and characteristic different from 2 is the group of affine transformations of an algebraically closed field.
arxiv  

On a common refinement of Stark units and Gross–Stark units

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its p$p$‐adic analogue, in terms of Fontaine's p$p$‐adic period ring. We construct period‐ring‐valued functions under a generalization of Yoshida's conjecture on the transcendental parts of CM‐periods.
Tomokazu Kashio
wiley   +1 more source

A stringy test of the Scalar Weak Gravity Conjecture

Nuclear Physics B, 2019
We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string compactifications with 8 supercharges. This sharpens our previous analysis by including massless scalar fields.
Seung-Joo Lee, Wolfgang Lerche, Timo Weigand   +2 more
doaj  

Magnons and spikes for N $$ \mathcal{N} $$ = 2 linear quivers and their non-Abelian T-duals

Journal of High Energy Physics
We compute the spectra associated with various semiclassical string states that propagate over N $$ \mathcal{N} $$ = 2 Gaiotto-Maldacena backgrounds. As an interesting special case, for the Abelian T- dual solution, we discover giant magnon and single ...
Dibakar Roychowdhury
doaj   +1 more source

Non-abelian GKM Theory [PDF]

Math. Z. 277 (2014), no. 1, 1-27, 2012
We describe a generalization of GKM theory for actions of arbitrary compact connected Lie groups. To an action satisfying the non-abelian GKM conditions we attach a graph encoding the structure of the non-abelian 1-skeleton, i.e., the subspace of points with isotopy rank at most one less than the rank of the acting group.
arxiv  

Canonical Decompositions of Abelian Groups [PDF]

arXiv, 2020
Every torsion--free abelian group of finite rank has two essentially unique complete direct decompositions whose summands come from specific classes of groups.
arxiv