vix.ing · top · new · best · stats · spec

On a new class of rational cuspidal plane curves with two cusps

2012/05/06 by Keita Tono, Tono, Keita
Mathematics · Social Sciences · #14H50 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Vietnamese History and Culture Studies #math.AG #msc:14H50

paper · pdf · doi:10.48550/arxiv.1205.1248

27 pages

arxiv created 2012/05/06 · openalex publication_date 2012/05/06 · arxiv updated 2012/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider rational cuspidal plane curves having exactly two cusps whose complements have logarithmic Kodaira dimension two. We classify such curves with the property that the strict transforms of them via the minimal embedded resolution of the cusps have maximal self-intersection number.

Related