2 citations · 5 across the 6 of their papers we have counts for
6 papers
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…
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…
Extended Okounkov bodies and multi-point Seshadri constants
Jaesun Shin
Based on the work of Okounkov, Kaveh-Khovanskii and Lazarsfeld-Mustata independently associated a convex body, called the Okounkov body, to a big divisor on a normal projective var…
Higher syzygies on abelian surfaces
Jaesun Shin
Based on the theory of an infinitesimal Newton-Okounkov body, we extend the results of Lazarsfeld-Pareschi-Popa on abelian surfaces. Moreover, we show that the higher syzygies of $…
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…
A bound for the Milnor sum of projective plane curves in terms of GIT
Jaesun Shin
Let be a projective plane curve of degree whose singularities are all isolated. Suppose is not concurrent lines. Płoski proved that the Milnor number of an isolated sin…