Kenta Watanabe

activity

20152022

most citedElectrical control of a solid-state flying qubit

132 citations · 133 across the 8 of their papers we have counts for

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8 papers · 1 filter

math.AG2022

On the classification of non-aCM curves on quintic hypersurfaces in $P^{3}$

Kenta Watanabe

In this paper, we call a sub-scheme of dimension one in $P^{3}$ a curve. It is well known that the arithmetic genus and the degree of an aCM curve $D$ in $P^{3}$ is c…

math.AG2021

New examples of Weierstrass semigroups associated with a double covering of a curve on a Hirzebruch surface of degree one

Kenta Watanabe

Let $φ : Σ_{1} ⟶ P^{2}$ be a blow up at a point on $P^{2}$ . Let $C$ be the proper transform of a smooth plane curve of degree $d \geq 4$ by $φ$ , and let $P$ b…

math.AG2020

The characterization of aCM line bundles on quintic hypersurfaces in $P^{3}$

Kenta Watanabe

Let $X$ be a smooth quintic hypersurface in $P^{3}$ , let $C$ be a smooth hyperplane section of $X$ , and let $H = O_{X} (C)$ . In this paper, we give a necessary and suff…

math.AG2020

ACM bundles of rank 2 on quartic hypersurfaces in $P^{3}$ and Lazarsfeld-Mukai bundles

Kenta Watanabe

Let $X$ be a smooth quartic hypersurface in $P^{3}$ . By the Brill-Noether theory of curves on K3 surfaces, if a rank 2 aCM bundle on $X$ is globally generated, then it is th…

math.AG2018

ACM line bundles on polarized K3 surfaces

Kenta Watanabe

An ACM bundle on a polarized algebraic variety is defined as a vector bundle whose intermediate cohomology vanishes. We are interested in ACM bundles of rank one with respect to a…

math.AG2017

Unstable Lazarsfeld-Mukai bundles of rank 2 on a certain K3 surface of Picard number 2

Kenta Watanabe

Let $g$ and $c$ be any integers satisfying $g \geq 3$ and $0 \leq c \leq ⌊ \frac{g - 1}{2} ⌋$ . It is known that there exists a polarized K3 surface $(X, H)$ such that $X$ is a K…

On the classification of non-aCM curves on quintic hypersurfaces in P3

New examples of Weierstrass semigroups associated with a double covering of a curve on a Hirzebruch surface of degree one

The characterization of aCM line bundles on quintic hypersurfaces in P3

ACM bundles of rank 2 on quartic hypersurfaces in P3 and Lazarsfeld-Mukai bundles

ACM line bundles on polarized K3 surfaces

Unstable Lazarsfeld-Mukai bundles of rank 2 on a certain K3 surface of Picard number 2

On the classification of non-aCM curves on quintic hypersurfaces in $P^{3}$

The characterization of aCM line bundles on quintic hypersurfaces in $P^{3}$

ACM bundles of rank 2 on quartic hypersurfaces in $P^{3}$ and Lazarsfeld-Mukai bundles