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Spaces of conjugation-equivariant full holomorphic maps

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Abstract

Let RR{k}{n} denote the space of basepoint-preservingconjugation-equivariant holomorphic maps of degree k from S^2to CP{n}. A map f: S^2 rightarrow CP{n} is said to be fullif its image does not lie in any proper projective subspace ofCP{n}. Let RF{k}{n} denote the subspace of RR{k}{n}consisting of full maps. In this paper we determine H_ast(RF{k}{2}; Zp) for all primes p.

참고문헌 (5)

  1. "Some geometric questions in the theory of linear systems", 21, pp.449~ (1976)
  2. "Full holomorphic maps from the Riemann sphere to complexprojective spaces", 38, pp.161~ (1993)
  3. "Remarks on spaces of real rational functions"
  4. "Characteristic classes", 76 (1974)
  5. "The topology of spaces of rational functions", 143, pp.39~ (1979)

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