Results 1 to 10 of about 237,552 (328)
Algebras and Representation Theory, 2020 AbstractIn this paper we introduce new affine algebraic varieties whose points correspond to associative algebras. We show that the algebras within a variety share many important homological properties. In particular, any two algebras in the same variety have the same dimension.
Green, Edward L. +2 more
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Дифференциальная геометрия многообразий фигур, 2021 In the first-order frame a tangentially r-framed hyperband is given in the projective space. For simplicity of presentation, we adapt the frame by the field of the 1st kind normals. The tensor of nonholonomicity of clothing L-planes field is introduced.
Yu. I. Popov
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Parametric Expansions of an Algebraic Variety near Its Singularities
Axioms, 2023 Presently, there is a method based on Power Geometry that allows one to find asymptotic forms and asymptotic expansions of solutions to different kinds of non-linear equations near their singularities.
Alexander D. Bruno, Alijon A. Azimov
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Counting rational points of two classes of algebraic varieties over finite fields
AIMS Mathematics, 2023 Let $ p $ stand for an odd prime and let $ \eta\in \mathbb Z^+ $ (the set of positive integers). Let $ \mathbb F_q $ denote the finite field having $ q = p^\eta $ elements and $ \mathbb F_q^* = \mathbb F_q\setminus \{0\} $.
Guangyan Zhu, Shiyuan Qiang, Mao Li
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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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An analysis of the algebraic structures in the context of intertemporal choice
AIMS Mathematics, 2022 Framework and justification: The content of this paper is located on the intersection of two fields: Finance and Algebra. In effect, the current dynamism shown by most financial instruments makes it necessary to endow the foundations of finance with, as ...
Blas Torrecillas Jover
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Cocientes algebraicos y Teoría de Invariantes Geométricos
Selecciones Matemáticas, 2020 The quotient of an algebraic variety by action of an algebraic group does not always has a variety structure. The aim of this work is to describe a methodfor constructing good quotients, in the sense of Geometric invariant theory, in algebraicgeometry.
Nélida Medina García
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Comptes Rendus. Mathématique, 2020 We say that a smooth algebraic group $G$ over a field $k$ is very special if for any field extension $K/k$, every $G_K$-homogeneous $K$-variety has a $K$-rational point. It is known that every split solvable linear algebraic group is very special.
Brion, Michel, Peyre, Emmanuel
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On enhanced general linear groups: nilpotent orbits and support variety for Weyl module
AIMS Mathematics, 2023 Associated with a reductive algebraic group $ G $ and its rational representation $ (\rho, M) $ over an algebraically closed filed $ {\bf{k}} $, the authors define the enhanced reductive algebraic group $ {\underline{G}}: = G\ltimes_\rho M $, which is a ...
Yunpeng Xue
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Algebraic Legendrian varieties [PDF]
Dissertationes Mathematicae, 2009 Real Legendrian subvarieties are classical objects of differential geometry and classical mechanics and they have been studied since antiquity. However, complex Legendrian subvarieties are much more rigid and have more exceptional properties. The most remarkable case is the Legendrian subvarieties of projective space and prior to the author's research ...
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