Young Rock Kim

activity

20062022

most citedGeometry and a natural symplectic structure of phase tropical hypersurfaces

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.RT2022

Crystal bases and canonical bases for quantum Borcherds-Bozec algebras

Zhaobing Fan, Shaolong Han, Seok-Jin Kang +1

Let $U_{q}^{-} (g)$ be the negative half of a quantum Borcherds-Bozec algebra $U_{q} (g)$ and $V (λ)$ be the irreducible highest weight module with $λ \in P^{+}$ . I…

math.QA2021

Global bases for quantum Borcherds-Bozec algebras

Zhaobing Fan, Seok-Jin Kang, Young Rock Kim +1

We provide a construction of global bases for quantum Borcherds-Bozec algebras and their integrable highest weight representations.

math.RT2020

Abstract crystals for quantum Borcherds-Bozec algebras

Zhaobing Fan, Seok-Jin Kang, Young Rock Kim +1

In this paper, we develop the theory of abstract crystals for quantum Borcherds-Bozec algebras. Our construction is different from the one given by Bozec. We further prove the crys…

math.AG2016★ 2 cited

Geometry and a natural symplectic structure of phase tropical hypersurfaces

Young Rock Kim, Mounir Nisse

First, we define phase tropical hypersurfaces in terms of a degeneration data of smooth complex algebraic hypersurfaces in $(C^{*})^{n}$ . Next, we prove that complex hyperplan…

math.AG2006

Normal generation and Clifford index

Youngook Choi, Seonja Kim, Young Rock Kim

Let $C$ be a smooth curve of genus $g \geq 4$ and Clifford index $c$ . In this paper, we prove that if $C$ is neither hyperelliptic nor bielliptic with $g \geq 2 c + 5$ and $M$ co…