Results 131 to 140 of about 26,299 (168)

Topology of real algebraic varieties and tropical homology

Singularities — Kagoshima 2017, 2020
Ilia Itenberg
semanticscholar   +3 more sources

Gyroscopic stabilization of degenerate equilibria and the topology of real algebraic varieties

Doklady Mathematics, 2008
Валерий Васильевич Козлов
semanticscholar   +3 more sources

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Approximation of maps between real algebraic varieties

Journal für die Reine und Angewandte Mathematik
A nonsingular real algebraic variety 𝑌 is said to have the approximation property if, for every nonsingular real algebraic variety 𝑋, the following holds: if f : X → Y f\colon X\rightarrow Y is a C ∞ \mathcal{C}^{\infty} map that is homotopic to a ...
Juliusz Banecki, W. Kucharz
semanticscholar   +1 more source

Spaces of maps between real algebraic varieties

Bulletin of the London Mathematical Society
Given two real algebraic varieties X$X$ and Y$Y$ , we denote by R(X,Y)$\mathcal {R}(X,Y)$ the set of all regular maps from X$X$ to Y$Y$ . The set R(X,Y)$\mathcal {R}(X,Y)$ is regarded as a topological subspace of the space C(X,Y)$\mathcal {C}(X,Y)$ of ...
W. Kucharz
semanticscholar   +1 more source

An Integral Formula for the Complex Intersection Number of Real Cycles in a Real Algebraic Variety with Topologically Rational Singularities

Journal of Mathematical Sciences, 2004
A formula is given for the complex intersection number of real cycles on a singular real algebraic variety \(X\) whose singularities are topologically rational, in terms of the local intersection numbers and the compactly supported Euler characteristics of the strata of a semi-algebraic Whitney stratification of \(X\).
openaire   +1 more source

Dequantization of Real Algebraic Geometry on Logarithmic Paper

, 2000
On logarithmic paper some real algebraic curves look like smoothed broken lines. Moreover, the broken lines can be obtained as limits of those curves. The corresponding deformation can be viewed as a quantization, in which the broken line is a classical ...
O. Viro
semanticscholar   +1 more source

Viro theorem and topology of real and complex combinatorial hypersurfaces

, 2001
We introduce a class of combinatorial hypersurfaces in the complex projective space. They are submanifolds of codimension 2 inℂPn and are topologically “glued” out of algebraic hypersurfaces in (ℂ*)n.
I. Itenberg, E. Shustin
semanticscholar   +1 more source

Seminormalization and continuous rational functions on complex algebraic varieties

Annales de l'Institut Fourier
The seminormalization of an algebraic variety is the biggest variety which is link to it with a birational, finite and bijective morphism. In this paper, we bring a new understanding to the seminormalization of complex algebraic varieties.
François Bernard
semanticscholar   +1 more source

The strong topology on real algebraic varieties

, 1982
Niels Schwartz
openalex   +1 more source

An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy, Donna R Rivera, Jennifer L Lund, Msph   +2 more
exaly