Hyun Kyu Kim

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20092023

most citedA duality map for quantum cluster varieties from surfaces

41 citations · 111 across the 22 of their papers we have counts for

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math.AG2020

$SL_{3}$ -laminations as bases for $PGL_{3}$ cluster varieties for surfaces

Hyun Kyu Kim

In this paper we partially settle Fock-Goncharov's duality conjecture for cluster varieties associated to their moduli spaces of $G$ -local systems on a punctured surface $\fr…

math.AG2015★ 4 cited

Quasiphantom categories on a family of surfaces isogenous to a higher product

Hyun Kyu Kim, Yun-Hwan Kim, Kyoung-Seog Lee

We construct exceptional collections of line bundles of maximal length 4 on $S = (C \times D) / G$ which is a surface isogenous to a higher product with $p_{g} = q = 0$ where $G = G (32, 27)$ is…

SL3​-laminations as bases for PGL3​ cluster varieties for surfaces

Quasiphantom categories on a family of surfaces isogenous to a higher product

$SL_{3}$ -laminations as bases for $PGL_{3}$ cluster varieties for surfaces