A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01812-9
Abstract: We prove a theorem of Tits type for automorphism groups of projective varieties over an algebraically closed field of arbitrary characteristic, which was first conjectured by Keum, Oguiso and Zhang for complex projective varieties. read more here.
Keywords: groups projective; tits type; projective varieties; automorphism groups ... See more keywords
Local $${\mathcal {P}}$$ entropy and stabilized automorphism groups of subshifts
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DOI: 10.1007/s00222-021-01076-8
Abstract: For a homeomorphism $T \colon X \to X$ of a compact metric space $X$, the stabilized automorphism group $\text{Aut}^{(\infty)}(T)$ consists of all self-homeomorphisms of $X$ which commute with some power of $T$. Motivated by the… read more here.
Keywords: mathcal entropy; entropy; local mathcal; stabilized automorphism ... See more keywords
Automorphism Groups of Circulant Digraphs With Applications to Semigroup Theory
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DOI: 10.1007/s00493-016-3403-0
Abstract: We characterize the automorphism groups of circulant digraphs whose connection sets are relatively small, and of unit circulant digraphs. For each class, we either explicitly determine the automorphism group or we show that the graph… read more here.
Keywords: groups circulant; digraphs applications; circulant digraphs; applications semigroup ... See more keywords
Representations of pure symmetric automorphism groups of RAAGs
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DOI: 10.1007/s11856-019-1875-5
Abstract: We study representations of the pure symmetric automorphism group PAut(AГ) of a RAAG AГ with defining graph Г.We first construct a homomorphism from PAut(AГ) to the direct product of a RAAG and a finite direct… read more here.
Keywords: representations pure; automorphism groups; pure symmetric; groups raags ... See more keywords
On abelian automorphism groups of hypersurfaces
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DOI: 10.1007/s11856-021-2275-1
Abstract: Given integers $d\ge 3$ and $N\ge 2$. Let $G$ be a finite abelian group acting faithfully and linearly on a smooth hypersurface of degree $d$ in the complex projective space $\mathbb{P}^{N-1}$. Suppose $G\subset PGL(N, \mathbb{C})$… read more here.
Keywords: abelian automorphism; groups hypersurfaces; mathbb; automorphism groups ... See more keywords
Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields
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DOI: 10.1016/j.jnt.2019.04.018
Abstract: We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can be realized as such automorphism… read more here.
Keywords: groups simple; finite; automorphism; automorphism groups ... See more keywords
Automorphism groups of superspecial curves of genus 4 overF11
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DOI: 10.1016/j.jpaa.2020.106339
Abstract: Abstract In this paper, we explicitly determine the automorphism group of every nonhyperelliptic superspecial curve of genus 4 over F 11 . Our algorithm determining automorphism groups works for any nonhyperelliptic curve of genus 4… read more here.
Keywords: curves genus; superspecial curves; genus overf11; automorphism groups ... See more keywords
Relative automorphism groups of right‐angled Artin groups
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DOI: 10.1112/topo.12101
Abstract: We study the outer automorphism group $Out(A_\Gamma)$ of the right-angled Artin group (RAAG) $A_\Gamma$ with defining graph $\Gamma$. A relative automorphism group is the stabilizer of a set of subgroups up to conjugacy; we consider… read more here.
Keywords: right angled; angled artin; automorphism groups; automorphism ... See more keywords
p-Subgroups in Automorphism Groups of Real del Pezzo Surfaces
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DOI: 10.1134/s1064562418020072
Abstract: We classify finite p-groups acting minimally on real del Pezzo surfaces. This gives a partial classification of p-subgroups in the real plane Cremona group. read more here.
Keywords: subgroups automorphism; pezzo surfaces; automorphism groups; real del ... See more keywords