SPACES OF CONJUGATION-EQUIVARIANT FULL HOLOMORPHIC MAPS

Title & Authors
SPACES OF CONJUGATION-EQUIVARIANT FULL HOLOMORPHIC MAPS
KAMIYAMA, YASUHIKO;

Abstract
Let $\small{RRat_k}$ ($\small{CP^n}$) denote the space of basepoint-preserving conjugation-equivariant holomorphic maps of degree k from $\small{S^2}$ to $\small{CP^n}$. A map f ; $\small{S^2 {\to}CP^n}$ is said to be full if its image does not lie in any proper projective subspace of $\small{CP^n}$. Let $\small{RF_k(CP^n)}$ denote the subspace of $\small{RRat_k(CP^n)}$ consisting offull maps. In this paper we determine $\small{H{\ast}(RF_k(CP^2); Z/p)}$ for all primes p.㜊谀Ѐ㌸㠻⤀䍯浭敲捥Ⱐ捯浭畮楣慴楯湳…⁴牡湳灯牴慴楯渀
Keywords
rational function;full map;
Language
English
Cited by
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