6 papers
Ulrich sheaves and determinantal representations for higher secant varieties of curves
Daniele Agostini, Mario Kummer, Jinhyung Park
We show that higher secant varieties of smooth projective curves have symmetric admissible determinantal representations with symmetric Ulrich sheaves of rank one if the embedding…
Effective results on projective normality of the first and second secant varieties
Doyoung Choi, Jinhyung Park
In joint work with Lacini and Sheridan, we proved that the first and second secant varieties of a smooth projective complex variety embedded by the complete linear system of a suff…
Hilbert polynomials of the first and second secant varieties
Doyoung Choi, Jinhyung Park
In this paper, we give a description of the cohomology groups of the symmetric powers of the tautological bundle associated with a sufficiently positive line bundle on the Hilbert…
Some local and global properties of secant varieties of nonsingular projective curves
Lawrence Ein, Wenbo Niu, Jinhyung Park
The main goal of this paper is to study some local and global properties of secant varieties of algebraic curves. These results complement our previous work [8] by addressing issue…
Effective gonality theorem on weight-one syzygies of algebraic curves
Wenbo Niu, Jinhyung Park
In 1986, Green-Lazarsfeld raised the gonality conjecture asserting that the gonality of a smooth projective curve of genus can be read off fro…
Some remarks on smooth projective varieties of small degree and codimension
Jinhyung Park
The purpose of this note is twofold. First, we give a quick proof of Ballico-Chiantini's theorem stating that a Fano or Calabi-Yau variety of dimension at least 4 in codimension tw…