Homology classes of real algebraic sets

Wojciech Kucharz[1]

  • [1] University of New Mexico Department of Mathematics and Statistics Albuquerque, New Mexico 87131-1141(USA)

Annales de l’institut Fourier (2008)

  • Volume: 58, Issue: 3, page 989-1022
  • ISSN: 0373-0956

Abstract

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There is a large research program focused on comparison between algebraic and topological categories, whose origins go back to 1952 and the celebrated work of J. Nash on real algebraic manifolds. The present paper is a contribution to this program. It investigates the homology and cohomology classes represented by real algebraic sets. In particular, such classes are studied on algebraic models of smooth manifolds.

How to cite

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Kucharz, Wojciech. "Homology classes of real algebraic sets." Annales de l’institut Fourier 58.3 (2008): 989-1022. <http://eudml.org/doc/10341>.

@article{Kucharz2008,
abstract = {There is a large research program focused on comparison between algebraic and topological categories, whose origins go back to 1952 and the celebrated work of J. Nash on real algebraic manifolds. The present paper is a contribution to this program. It investigates the homology and cohomology classes represented by real algebraic sets. In particular, such classes are studied on algebraic models of smooth manifolds.},
affiliation = {University of New Mexico Department of Mathematics and Statistics Albuquerque, New Mexico 87131-1141(USA)},
author = {Kucharz, Wojciech},
journal = {Annales de l’institut Fourier},
keywords = {Real algebraic variety; algebraic cycles; cohomology; algebraic models; regular maps; vector bundles},
language = {eng},
number = {3},
pages = {989-1022},
publisher = {Association des Annales de l’institut Fourier},
title = {Homology classes of real algebraic sets},
url = {http://eudml.org/doc/10341},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Kucharz, Wojciech
TI - Homology classes of real algebraic sets
JO - Annales de l’institut Fourier
PY - 2008
PB - Association des Annales de l’institut Fourier
VL - 58
IS - 3
SP - 989
EP - 1022
AB - There is a large research program focused on comparison between algebraic and topological categories, whose origins go back to 1952 and the celebrated work of J. Nash on real algebraic manifolds. The present paper is a contribution to this program. It investigates the homology and cohomology classes represented by real algebraic sets. In particular, such classes are studied on algebraic models of smooth manifolds.
LA - eng
KW - Real algebraic variety; algebraic cycles; cohomology; algebraic models; regular maps; vector bundles
UR - http://eudml.org/doc/10341
ER -

References

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