Results 61 to 70 of about 66,912 (209)

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

On the group of automorphisms of Horikawa surfaces

open access: yesComptes Rendus. Mathématique
Minimal algebraic surfaces of general type $X$ such that $K^2_X=2\chi (\mathcal{O}_X)-6$ are called Horikawa surfaces. In this note the group of automorphisms of Horikawa surfaces is studied.
Lorenzo, Vicente
doaj   +1 more source

On the closure of the tame automorphism group of affine three-space

open access: yes, 2014
We provide explicit families of tame automorphisms of the complex affine three-space which degenerate to wild automorphisms. This shows that the tame subgroup of the group of polynomial automorphisms of $\C^3$ is not closed, when the latter is seen as an
Edo, Eric, Poloni, Pierre-Marie
core   +3 more sources

Bounded Automorphisms of Groups

open access: yesJournal of Algebra, 1994
Let \(G\) be the fundamental group of a graph of groups (in the sense of Bass-Serre theory). Such a group has a natural length function and thus a corresponding notion of bounded subgroups and bounded automorphisms. The general result of this paper is that an automorphism of \(G\) is bounded if and only if it is induced by isomorphisms of vertex groups
openaire   +2 more sources

Automorphisms of solvable groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1962
It is important to note that in both these statements only the existence of integers t(p, n) and m(p) is claimed. The only specific information known is that in(2) =2, m (3) =2, and mi(5) = 3 (see [1 ]) . Even upper bounds for the values of t(p, n) and m(p) are not known to us.
openaire   +1 more source

Automorphisms of K-groups I [PDF]

open access: yesJournal of Algebra, 2018
This work is a continuation of Automorphisms of $K$-groups I, P. Flavell, preprint. The main object of study is a finite $K$-group $G$ that admits an elementary abelian group $A$ acting coprimely. For certain group theoretic properties $\mathcal P$, we study the $AC_{G}(A)$-invariant $\mathcal P$-subgroups of $G$.
openaire   +3 more sources

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

open access: yesMathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

An action of the free product Z2⋆Z2⋆Z2 on the q-Onsager algebra and its current algebra

open access: yesNuclear Physics B, 2018
Recently Pascal Baseilhac and Stefan Kolb introduced some automorphisms T0, T1 of the q-Onsager algebra Oq, that are roughly analogous to the Lusztig automorphisms of Uq(slˆ2).
Paul Terwilliger
doaj   +1 more source

Conjugacy classes of trialitarian automorphisms and symmetric compositions [PDF]

open access: yes, 2011
The trialitarian automorphisms considered in this paper are the outer automorphisms of order 3 of adjoint classical groups of type D_4 over arbitrary fields.
Chernousov, Vladimir   +2 more
core   +2 more sources

Palindromic automorphisms of free groups

open access: yesJournal of Algebra, 2015
19 ...
Bardakov, Valeriy G.   +2 more
openaire   +2 more sources

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