Rational maps in real algebraic geometry-Reference-Cited by-同舟云学术

Rational maps in real algebraic geometry

Published:2009-07-06 Issue:4 Volume:9 Page:517-539
ISSN:1615-7168
Container-title:advg
language:en
Short-container-title:

Author:

Kucharz Wojciech¹

Affiliation:

1. Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany and Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131-1141, USA. Email:

Abstract

Abstract The paper deals with rational maps between real algebraic sets. We are interested in the rational maps which extend to continuous maps defined on the entire source space. In particular, we prove that every continuous map between unit spheres is homotopic to a rational map of such a type. We also establish connections with algebraic cycles and vector bundles.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/ADVGEOM.2009.024/pdf

Reference17 articles.

1. Polynomial equations of immersed surfaces

2. On approximating submanifolds by algebraic sets and a solution to the Nash conjecture

3. Vector bundles over real algebraic varieties

4. Algebraic approximation of mappings into spheres.

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