Rational homotopy stability for the spaces of rational maps
نویسنده
چکیده
Let Holnx0(CP 1,X) be the space of based holomorphic maps of degree n from CP1 into a simply connected algebraic variety X. Under some condition we prove that the map Holnx0(CP 1,X) −→ Hol x0 (CP 1,X) obtained by compositing f ∈ Holnx0(CP 1,X) with g(z) = z, z ∈ CP1 induces rational homotopy equivalence up to some dimension, which tends to infinity as the degree grows.
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تاریخ انتشار 2008