Algebraic equivalence of real algebraic cycles

Miguel Abánades; Wojciech Kucharz

Annales de l'institut Fourier (1999)

  • Volume: 49, Issue: 6, page 1797-1804
  • ISSN: 0373-0956

Abstract

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Given a compact nonsingular real algebraic variety we study the algebraic cohomology classes given by algebraic cycles algebraically equivalent to zero.

How to cite

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Abánades, Miguel, and Kucharz, Wojciech. "Algebraic equivalence of real algebraic cycles." Annales de l'institut Fourier 49.6 (1999): 1797-1804. <http://eudml.org/doc/75402>.

@article{Abánades1999,
abstract = {Given a compact nonsingular real algebraic variety we study the algebraic cohomology classes given by algebraic cycles algebraically equivalent to zero.},
author = {Abánades, Miguel, Kucharz, Wojciech},
journal = {Annales de l'institut Fourier},
keywords = {real algebraic variety; algebraic cycles algebraically equivalent to zero; algebraic cohomology},
language = {eng},
number = {6},
pages = {1797-1804},
publisher = {Association des Annales de l'Institut Fourier},
title = {Algebraic equivalence of real algebraic cycles},
url = {http://eudml.org/doc/75402},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Abánades, Miguel
AU - Kucharz, Wojciech
TI - Algebraic equivalence of real algebraic cycles
JO - Annales de l'institut Fourier
PY - 1999
PB - Association des Annales de l'Institut Fourier
VL - 49
IS - 6
SP - 1797
EP - 1804
AB - Given a compact nonsingular real algebraic variety we study the algebraic cohomology classes given by algebraic cycles algebraically equivalent to zero.
LA - eng
KW - real algebraic variety; algebraic cycles algebraically equivalent to zero; algebraic cohomology
UR - http://eudml.org/doc/75402
ER -

References

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  8. [8] H. HIRONAKA, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. of Math., 79 (1964), 109-326. Zbl0122.38603MR33 #7333
  9. [9] S.T. HU, Homotopy Theory, New York, Academic Press, 1959. Zbl0088.38803MR21 #5186
  10. [10] W. KUCHARZ, Algebraic equivalence and homology classes of real algebraic cycles, Math. Nachr., 180 (1996), 135-140. Zbl0877.14003MR97e:14009
  11. [11] J. MILNOR and J. STASHEFF, Characteristic Classes, Ann. of Math. Studies, Vol. 76, Princeton Univ. Press, 1974. Zbl0298.57008MR55 #13428
  12. [12] R. THOM, Quelques propriétés globales de variétés différentiables, Comm. Math. Helv., 28 (1954), 17-86. Zbl0057.15502MR15,890a
  13. [13] A. TOGNOLI, Su una congettura di Nash, Ann. Scuola Norm. Sup. Pisa, 27 (1973), 167-185.. Zbl0263.57011MR53 #434

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