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The topology of spaces of holomorphic maps to projective space

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arxiv 2402.05500 v1 pith:KTSVTAVB submitted 2024-02-08 math.AT math.AG

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keywords mapsprojectiveholomorphicspacespacescomplexcontinuousdegree
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We show that the spaces of holomorphic and continuous maps from a smooth complex projective variety to a projective space have the same homology in a range depending on the degree of the maps.

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Cited by 1 Pith paper

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  1. A configuration space model for algebraic function spaces

    math.AG 2024-12 reject novelty 6.0 of 10

    A conditional spectral sequence model for algebraic morphism spaces is announced, with an inconsistent stable-range formula and an off-by-two conflict between theorem and proof.

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