2015/12/30 by Sagar Kolte, Kolte, Sagar · 1 citation
Mathematics · #14J26 #14R25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14J26 #msc:14R25
paper · pdf · doi:10.48550/arxiv.1512.08840
13 Pages
arxiv created 2015/12/30 · openalex publication_date 2015/12/30 · arxiv updated 2015/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A pair (S,C) is called a singular ℚ-homology plane pair if S is a singular projective surface with only quotient singularities having the same rational homology as \mathbbp2 and C ⊂ S has the same rational homology as \mathbbp1. We will prove results concerning smooth rational curves on S and the singularities of S such that κ(S0)=1 and κ(S-C) ≠ -∞. We end with an example of such pairs.