4 citations · 4 across the 4 of their papers we have counts for
4 papers
A note on an effective bound for the gonality conjecture
Alexander Duncan, Wenbo Niu, Jinhyung Park
The gonality conjecture, proved by Ein--Lazarsfeld, asserts that the gonality of a nonsingular projective curve of genus can be detected from its syzygies in the embedding give…
Asymptotic nonvanishing of syzygies of algebraic varieties
Jinhyung Park
We establish precise nonvanishing results for asymptotic syzygies of smooth projective varieties. This refines Ein-Lazarsfeld's asymptotic nonvanishing theorem. Combining with the…
Redundant blow-ups of rational surfaces with big anticanonical divisor
DongSeon Hwang, Jinhyung Park
We completely classify redundant blow-ups appearing in the theory of rational surfaces with big anticanonical divisor due to Sakai. In particular, we construct a rational surface w…
Factorization of anticanonical maps of Fano type varieties
Sung Rak Choi, DongSeon Hwang, Jinhyung Park
The purpose of the present paper is to generalize Sakai's work on anticanonical models of rational surfaces to varieties of Fano type. We first prove a characterization of Fano typ…