Algebraic Cycles on Real Varieties and Z/2‐Equivariant Homotopy Theory | Zendy

Santos Pedro F. Dos | Zendy

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Algebraic Cycles on Real Varieties and Z/2‐Equivariant Homotopy Theory

Author(s) -

Santos Pedro F. Dos

Publication year - 2003

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/s002461150201376x

Subject(s) - mathematics , homotopy group , equivariant map , homotopy , homology (biology) , cofibration , algebraic variety , pure mathematics , algebraic number , cw complex , combinatorics , algebra over a field , discrete mathematics , regular homotopy , cellular homology , mathematical analysis , biochemistry , chemistry , gene

In this paper the spaces of algebraic cycles on a real projective variety X are studied as Z/2‐spaces under the action of the Galois group Gal ( C / R ). In particular, the equivariant homotopy type of the group of algebraic p ‐cyclesZ p ( PC n ) is computed. A version of Lawson homology for real varieties is proposed. The real Lawson homology groups are computed for a class of real varieties. 2000 Mathematical Subject Classification : primary 55P91; secondary 14C05, 19L47, 55N91.

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