Let F be a finite set which is algebraic over A = dcl(A). Let B be the. Page 4. ALGEBRAIC TYPES AND AUTOMORPHISM GROUPS 235 normal closure of F over A, G = la ...
Dec 14, 2009 · It is not always true that the automorphism group of an algebraic variety has a natural algebraic group structure.
Dec 13, 2019 · We know the classification of projective automorphisms of cubic surfaces over algebraically closed fields of arbitrary characteristic.
The automorphism group of a graph can provide insights into its symmetry and helps classify different types of graphs based on their structural properties.
In this paper, using Poizat's result we study algebraic types. As is well known, one motivation for developing the Galois theory was to show the unsolvability ...
This is a survey on the automorphism groups in various classes of affine algebraic surfaces and the algebraic group actions on such surfaces. Being infinite ...
Sep 3, 2013 · 1st conclusion: if K has characteristic 0, as any group scheme locally of finite type is automatically smooth, the dimension of Aut(X) is dimKH0 ...
In mathematics, the automorphism group of an object X is the group consisting of automorphisms of X under composition of morphisms.
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Several notions which are stronger than mere algebraicity are introduced and relations between these notions and groups of bijective elementary mappings are ...
The set of all automorphisms of an object forms a group, called the automorphism group. ... (The definition of a homomorphism depends on the type of algebraic ...