Neighborhood of a rational curve with an ordinary cusp

2024/07/02 by Takayuki Koike, Koike, Takayuki, Takato Uehara +1 · 1 citation
Computer Science · Engineering · Mathematics · #32C25 #32J15 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #Computational Geometry and Mesh Generation #FOS: Mathematics #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2407.01877

openalex publication_date 2024/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate complex analytic properties of a neighborhood of a reduced rational curve with an ordinary cusp embedded in a non-singular complex surface whose self-intersection number is zero.

Cited by

• Pluripotential geometry on semi-positive effective divisors of numerical dimension one

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