Kenta Watanabe

activity

20232026

collaborators

3 papers

math.AG2026

Second gonality of smooth aCM curves on quartic surfaces in $P^{3}$

Kenta Watanabe

For a smooth irreducible curve $C$ , its second gonality $d_{2}$ is defined to be the minimum integer $d$ such that $C$ admits a linear series $g_{d}^{2}$ . In this paper, we compute the s…

math.AG2024

A remark on the conjecture of Donagi-Morrison

Kenta Watanabe

Let $X$ be a K3 surface, let $C$ be a smooth curve of genus $g$ on $X$ , and let $A$ be a base point free and primitive line bundle $g_{d}^{r}$ on $C$ with $d \geq 4$ and $r\geq\sqrt{\fra…

math.AG2023

Lifts of line bundles on curves on K3 surfaces

Kenta Watanabe, Jiryo Komeda

Let $X$ be a K3 surface, let $C$ be a smooth curve of genus $g$ on $X$ , and let $A$ be a line bundle of degree $d$ on $C$ . Then a line bundle $M$ on $X$ with $M\otimes\mathcal{O}_C…

Second gonality of smooth aCM curves on quartic surfaces in P3

A remark on the conjecture of Donagi-Morrison

Lifts of line bundles on curves on K3 surfaces

Second gonality of smooth aCM curves on quartic surfaces in $P^{3}$