2 citations · 2 across the 3 of their papers we have counts for
6 papers · 1 filter
On subadditivity of Okounkov bodies for algebraic fiber spaces
Sung Rak Choi, Jinhyung Park
The purpose of this paper is to establish a subadditivity theorem of Okounkov bodies for algebraic fiber spaces. As applications, we obtain a product formula of the restricted cano…
Comparing numerical Iitaka dimensions again
Sung Rak Choi, Jinhyung Park
To seek for the useful numerical analogues to the Iitaka dimension, various numerical Iitaka dimensions have been defined from a number of different perspectives. It has been accep…
On a generalized Batyrev's cone conjecture
Sung Rak Choi, Yoshinori Gongyo
We discuss some variants of cone theorem for movable curves in any codimensions.
Local numerical equivalences and Okounkov bodies in higher dimensions
Sung Rak Choi, Jinhyung Park, Joonyeong Won
We continue to explore the numerical nature of the Okounkov bodies focusing on the local behaviors near given points. More precisely, we show that the set of Okounkov bodies of a p…
A product formula for volumes of divisors via Okounkov bodies
Sung Rak Choi, Seung-Jo Jung, Jinhyung Park +1
We generalize Kawamata's product formula for volumes of canonical divisors to arbitrary divisors using Okounkov bodies
On the dual of the mobile cone
Sung Rak Choi
We prove that the cone of mobile divisors and the cone of curves birationally movable in codimension 1 are dual in the -negative part for a klt pair . We also prove…