N. Takahashi

collaborators

2 papers

math.AG2025

Planar curve singularities relative to a smooth boundary

Nobuyoshi Takahashi

We study curve singularities in a smooth surface relative to a smooth boundary curve. We consider the semiuniversal deformations and equisingular deformations of curves with a fixe…

math.AG2025

Moduli spaces of one dimensional sheaves on log surfaces and Hilbert schemes

Nobuyoshi Takahashi

Let $X$ be a smooth projective rational surface, $D \subset X$ an effective anticanonical curve, $I^^{2}$ a curve class on $X$ and $d = \sum w_{i} P_{i}$ an effective divisor on $D_…