39 citations · 123 across the 34 of their papers we have counts for
4 papers · 1 filter
Cylinders in del Pezzo surfaces
Ivan Cheltsov, Jihun Park, Joonyeong Won
On del Pezzo surfaces, we study effective ample -divisors such that the complements of their supports are isomorphic to -bundles over smooth affine curves…
Hilbert functions of Cox rings of del Pezzo surfaces
Jinhyung Park, Joonyeong Won
To study syzygies of the Cox rings of del Pezzo surfaces, we calculate important syzygetic invariants such as the Hilbert functions, the Green-Lazarsfeld indices, the projective di…
Okounkov bodies associated to pseudoeffective divisors
Sung Rak Choi, Yoonsuk Hyun, Jinhyung Park +1
An Okounkov body is a convex subset in Euclidean space associated to a big divisor on a smooth projective variety with respect to an admissible flag. In this paper, we introduce tw…
Asymptotic base loci via Okounkov bodies
Sung Rak Choi, Yoonsuk Hyun, Jinhyung Park +1
An Okounkov body is a convex subset of Euclidean space associated to a divisor on a smooth projective variety with respect to an admissible flag. In this paper, we recover the asym…