The topology of spaces of holomorphic maps to projective space

2024/02/08 by Alexis Aumonier, Aumonier, Alexis
Mathematics · #55R80 #58D15 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2402.05500

openalex publication_date 2024/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

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.

Related

• Families of algebraic and continuous maps to ℙ^m
• Spaces of algebraic maps from real projective spaces into complex projective spaces
• The Geometry of the Space of Holomorphic Maps from a Riemann Surface into Complex Projective Space
• Spaces of morphisms from a projective space to a toric variety
• Spaces of algebraic and continuous maps between real algebraic varieties