2023/08/18 by Kacper Grzelakowski, Grzelakowski, Kacper
Mathematics · Social Sciences · #14J17 #14J30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Vietnamese History and Culture Studies
paper · pdf · doi:10.48550/arxiv.2308.09680
openalex publication_date 2023/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss bounds for the number of ordinary triple points on complete intersection Calabi-Yau threefolds in projective spaces and for Calabi-Yau threefolds in weighted projective spaces. In particular, we show that in P5 the intersection of a quadric and a quartic cannot have more than 10 ordinary triple points. We provide examples of complete intersection Calabi-Yau threefolds with multiple triple points. We obtain the exact bound for a sextic hypersurface in P[1 : 1 : 1 : 1 : 2], which is 10. We also discuss Calabi-Yau threefolds that cannot admit triple points.