3 papers
math.DG2026
Criteria and Curvatures for Singularities of Finite Multiplicities of Curves in
Jun Matsumoto, Shuki Sano, Kiyoto Yanagida
First, this paper presents a systematic procedure for constructing criteria for singularities of curves of finite multiplicities in . Based on this method, we pro…
math.DG2025
A class of affine maximal surfaces with singularities and its relationship with minimal surface theory
Jun Matsumoto
We study a global theory of affine maximal surfaces with singularities, which are called affine maximal maps and defined by Aledo--Mart\' inez--Mil\' an. In this paper, we define a…
math.DG2025
The classification of complete improper affine spheres with singularities of low total curvature and new examples
Jun Matsumoto
We provide a classification of complete improper affine spheres with singularities (say \emph{improper affine fronts}) in unimodular affine three-space whose tot…