Results 1 to 10 of about 235,731 (326)
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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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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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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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 $, which is a ...
Yunpeng Xue
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Point counting for foliations over number fields
Forum of Mathematics, Pi, 2022 Let${\mathbb M}$ be an affine variety equipped with a foliation, both defined over a number field ${\mathbb K}$. For an algebraic $V\subset {\mathbb M}$ over ${\mathbb K}$, write $\delta _{V}$ for the maximum of the degree and log-height of V.
Gal Binyamini
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Connected algebraic subgroups of groups of birational transformations not contained in a maximal one
Comptes Rendus. Mathématique, 2023 We prove that for each $n\ge 2$, there exist a ruled variety $X$ of dimension $n$ and a connected algebraic subgroup of $\mathrm{Bir}(X)$ which is not contained in a maximal one.
Fong, Pascal, Zikas, Sokratis
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