132 citations · 139 across the 11 of their papers we have counts for
11 papers
On the classification of non-aCM curves on quintic hypersurfaces in
Kenta Watanabe
In this paper, we call a sub-scheme of dimension one in a curve. It is well known that the arithmetic genus and the degree of an aCM curve in is c…
New examples of Weierstrass semigroups associated with a double covering of a curve on a Hirzebruch surface of degree one
Kenta Watanabe
Let be a blow up at a point on . Let be the proper transform of a smooth plane curve of degree by , and let b…
The characterization of aCM line bundles on quintic hypersurfaces in
Kenta Watanabe
Let be a smooth quintic hypersurface in , let be a smooth hyperplane section of , and let . In this paper, we give a necessary and suff…
ACM bundles of rank 2 on quartic hypersurfaces in and Lazarsfeld-Mukai bundles
Kenta Watanabe
Let be a smooth quartic hypersurface in . By the Brill-Noether theory of curves on K3 surfaces, if a rank 2 aCM bundle on is globally generated, then it is th…
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…
Electrical control of a solid-state flying qubit
Michihisa Yamamoto, Shintaro Takada, Christopher Bäuerle +3
Solid-state approaches to quantum information technology are attractive because they are scalable. The coherent transport of quantum information over large distances, as required f…
Unstable Lazarsfeld-Mukai bundles of rank 2 on a certain K3 surface of Picard number 2
Kenta Watanabe
Let and be any integers satisfying and . It is known that there exists a polarized K3 surface such that is a K…
On the splitting of Lazarsfeld-Mukai bundles on K3 surfaces II
Kenta Watanabe
In this paper, we say that a rank 2 bundle splits if it is given by an extension of two line bundles. In the previous works, we gave a necessary condition for Lazarsfeld-Mukai bund…
Slope semistability of rank 2 Lazarsfeld-Mukai bundles on K3 surfaces and ACM line bundles
Kenta Watanabe
Previously, many people have studied a stability of vector bundles of given rank and Chern classes on algebraic varieties. Recently, we are interested in the slope stability of the…
ACM bundles on K3 surfaces of genus 2
K. Watanabe
Let be a K3 surface of genus 2 and , and assume that is ample as a li…
The classification of ACM line bundles on quartic hypersurfaces on P^3
Kenta Watanabe
In this paper, we give a complete classification of initialized and ACM line bundles on a smooth quartic hypersurface on P^3$.