Jump to ContentJump to Main Navigation
Show Summary Details

Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board Member: Bannai, Eiichi / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Pasini, Antonio / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

4 Issues per year

IMPACT FACTOR increased in 2015: 0.578

SCImago Journal Rank (SJR) 2015: 0.489
Source Normalized Impact per Paper (SNIP) 2015: 0.864
Impact per Publication (IPP) 2015: 0.530

Mathematical Citation Quotient (MCQ) 2015: 0.43

See all formats and pricing
Volume 9, Issue 4 (Jan 2009)


Rational maps in real algebraic geometry

Wojciech Kucharz
  • 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:
Published Online: 2009-07-06 | DOI: https://doi.org/10.1515/ADVGEOM.2009.024


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.

Key words.: Rational maps; real algebraic sets; vector bundles

About the article

Received: 2007-09-12

Published Online: 2009-07-06

Published in Print: 2009-10-01

Citation Information: Advances in Geometry, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/ADVGEOM.2009.024. Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Wojciech Kucharz
Mathematische Zeitschrift, 2016
János Kollár and Krzysztof Nowak
Mathematische Zeitschrift, 2015, Volume 279, Number 1-2, Page 85
Wojciech Kucharz
Archiv der Mathematik, 2014, Volume 102, Number 3, Page 257
Marcin Bilski, Wojciech Kucharz, Anna Valette, and Guillaume Valette
Mathematische Zeitschrift, 2013, Volume 275, Number 1-2, Page 403
Wojciech Kucharz
Topology and its Applications, 2013, Volume 160, Number 12, Page 1375
Wojciech Kucharz
Selecta Mathematica, 2011, Volume 17, Number 4, Page 855

Comments (0)

Please log in or register to comment.
Log in