3 papers
math.AG2018
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…
math.AG2017
Positivity of line bundles on general blow-ups of abelian surfaces
Sanghyeon Lee, Jaesun Shin
Let be a polarized abelian surface, and let be a line bundle on , where $π:{\rm Bl}_{r}(S) \rightarrow S…
math.AG2016
Slices of Okounkov bodies of big divisors on Mori dream spaces
Jaesun Shin
The purpose of this paper is to study the slices of the Okounkov bodies of Mori dream spaces. First, we analyze all the slices of the Okounkov bodies of big divisors on Mori dream…