Results 31 to 40 of about 13,417,881 (325)
Avoider-enforcer star games [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Combinatorics
Andrzej Grzesik +5 more
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Levi decompositions of a linear algebraic group [PDF]
, 2010 If G is a connected linear algebraic group over the field k, a Levi factor of G is a reductive complement to the unipotent radical of G. If k has positive characteristic, G may have no Levi factor, or G may have Levi factors which are not geometrically ...
George J. McNinch
semanticscholar +1 more source
On the GAGA principle for algebraic affine hypersurfaces
Comptes Rendus. Mathématique, 2022 For any complete $\mathbb{C}$-algebraic variety Y and its underlying compact $\mathbb{C}$-analytic space $\mathcal{Y}$, it follows from the well known GAGA principle that the algebraic Picard group $Pic(Y)$ and the analytic Picard group $\mathbb{P}\!ic ...
Tan, Vo Van
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Modulus of a rational map into a commutative algebraic group [PDF]
, 2010 For a rational map $\phi: X \to G$ from a normal algebraic variety $X$ to a commutative algebraic group $G$, we define the modulus of $\phi$ as an effective divisor on $X$. We study the properties of the modulus.
Kazuya Kato, Henrik Russell
semanticscholar +1 more source
Étale difference algebraic groups [PDF]
arXiv, 2021 \'{E}tale difference algebraic groups are a difference analog of \'{e}tale algebraic groups. Our main result is a Jordan-H\"{o}lder type decomposition theorem for these groups. Roughly speaking, it shows that any \'{e}tale difference algebraic group can be build up from simple \'{e}tale algebraic groups and two finite \'{e}tale difference algebraic ...
arxiv
Fagnano's method for solving algebraic equations: Its historical overview and development
Учёные записки Казанского университета: Серия Физико-математические науки, 2021 In 1750, Giulio Carlo Fagnano dei Toschi's treatise “Produzioni matematiche” was published in two volumes. The second volume of the treatise contains a work in which Fagnano proposed a uniform method for solving algebraic equations up to the fourth ...
A.N. Abyzov
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Quotients by non-reductive algebraic group actions [PDF]
, 2008 Given a suitable action on a complex projective variety X of a non-reductive affine algebraic group H, this paper considers how to choose a reductive group G containing H and a projective completion of G x_H X which is a reductive envelope in the sense ...
F. Kirwan
semanticscholar +1 more source
The Markov-Zariski topology of an abelian group [PDF]
, 2010 According to Markov, a subset of an abelian group G of the form {x in G: nx=a}, for some integer n and some element a of G, is an elementary algebraic set; finite unions of elementary algebraic sets are called algebraic sets. We prove that a subset of an
Dikranjan, Dikran, Shakhmatov, Dmitri
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Algebraic subgroups of the group of birational transformations of ruled surfaces [PDF]
Épijournal de Géométrie Algébrique, 2023 We classify the maximal algebraic subgroups of Bir(CxPP^1), when C is a smooth projective curve of positive genus.
Pascal Fong
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P-adic lattices are not K\"ahler groups [PDF]
Épijournal de Géométrie Algébrique, 2019 In this note we show that any lattice in a simple p-adic Lie group is not the fundamental group of a compact Ka\"hler manifold, as well as some variants of this result.
Bruno Klingler
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