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Fields of geometric objects associated with compiled hyperplane H( ,L)  -distribution in affine space

open access: yesДифференциальная 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
doaj   +1 more source

Counting rational points of two classes of algebraic varieties over finite fields

open access: yesAIMS 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
doaj   +1 more source

Parametric Expansions of an Algebraic Variety near Its Singularities

open access: yesAxioms, 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
doaj   +1 more source

On the GAGA principle for algebraic affine hypersurfaces

open access: yesComptes 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
doaj   +1 more source

An analysis of the algebraic structures in the context of intertemporal choice

open access: yesAIMS 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
doaj   +1 more source

Cocientes algebraicos y Teoría de Invariantes Geométricos

open access: yesSelecciones 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
doaj   +1 more source

Very special algebraic groups

open access: yesComptes 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
doaj   +1 more source

Point counting for foliations over number fields

open access: yesForum 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
doaj   +1 more source

Efficient calculation of all steady states in large-scale overlapping generations models [PDF]

open access: yesMathematics and Modeling in Finance, 2023
In this paper, we address the problem of analyzing and computing all steady states of an overlapping generation (OLG) model with production and many generations.
Monireh Riahi   +3 more
doaj   +1 more source

On enhanced general linear groups: nilpotent orbits and support variety for Weyl module

open access: yesAIMS 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
doaj   +1 more source

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