2009/06/23 by Haibao Duan, Duan, Haibao, Banghe Li +1
Mathematics · #14M15 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.0906.4152
openalex publication_date 2009/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let M be the blow--up of a manifold M along a submanifold X. In this paper we present closed formulae for the integral cohomology and the total Chern class of M. As applications we compute the cohomology of the varieties of complete conics and complete quadrices in 3--space, and justify two enumerative results due to Schubert.