20 citations · 73 across the 40 of their papers we have counts for
7 papers · 1 filter
Seshadri constants and Okounkov bodies revisited
Jinhyung Park, Jaesun Shin
In recent years, the interaction between the local positivity of divisors and Okounkov bodies has attracted considerable attention, and there have been attempts to find a satisfact…
Regularity of structure sheaves of varieties with isolated singularities
Joaquín Moraga, Jinhyung Park, Lei Song
Let be a non-degenerate normal projective variety of codimension and degree with isolated -Gorenstein singularities. We prove that the…
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 moving lemma for relative -cycles
Amalendu Krishna, Jinhyun Park
We prove a moving lemma for the additive and ordinary higher Chow groups of relative -cycles of regular semi-local -schemes essentially of finite type over an infinite perfec…
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
Classification and syzygies of smooth projective varieties with 2-regular structure sheaf
Sijong Kwak, Jinhyung Park
The geometric and algebraic properties of smooth projective varieties with 1-regular structure sheaf are well understood, and the complete classification of these varieties is a cl…