Full holomorphic maps from the Riemann sphere to complex projective spaces
نویسندگان
چکیده
منابع مشابه
Spaces of algebraic maps from real projective spaces into complex projective spaces
We study the homotopy types of spaces of algebraic (rational) maps from real projective spaces into complex projective spaces. It was already shown in [1] that the inclusion of the first space into the second one is a homotopy equivalence. In this paper we prove that the homotopy types of the terms of the natural ‘degree’ filtration approximate closer and closer the homotopy type of the space o...
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Two compactifications of the space of holomorphic maps of fixed degree from a compact Riemann surface to a Grassmannian are studied. It is shown that the Uhlenbeck compactification has the structure of a projective variety and is dominated by the algebraic compactification coming from the Grothendieck Quot Scheme. The latter may be embedded into the moduli space of solutions to a generalized ve...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1993
ISSN: 0022-040X
DOI: 10.4310/jdg/1214454099