activity
20022025
most citedGeometric structures on G2 and Spin(7)-manifolds

12 citations · 25 across the 8 of their papers we have counts for

collaborators

9 papers

math.DG2025

Spin actions and Polygon spaces

Eunjeong Lee, Jae-Hyouk Lee

In this article, we construct correspondences between polygon spaces in Euclidean spaces of dimension and the quotient spaces of -Steifel manifolds along the normed d…

math.DG2022★ 2 cited

K-stability of Gorenstein Fano group compactifications with rank two

Jae-Hyouk Lee, Kyeong-Dong Park, Sungmin Yoo

We give a classification of Gorenstein Fano bi-equivariant compactifications of semisimple complex Lie groups with rank two, and determine which of them are equivariant K-stable an…

math.AG2021

W-translated Schubert divisors and transversal intersections

DongSeon Hwang, Hwayoung Lee, Jae-Hyouk Lee +1

We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety of Lie type A via Gelfand-Cetlin polytopes. We propose a conjecture that Schube…

math.AG2020★ 5 cited

Kähler-Einstein metrics on smooth Fano symmetric varieties with Picard number one

Jae-Hyouk Lee, Kyeong-Dong Park, Sungmin Yoo

Symmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces, and they are interesting examples of spherical varieties. We prove that all smooth Fano…

math.SG2015

Non-displaceable toric fibers on compact toric manifolds via tropicalizations

Yoosik Kim, Jaeho Lee

We give a combinatorial way to locate non-displaceable Lagrangian toric fibers on compact toric manifolds. By taking the intersection of certain tropicalizations coming from combin…

math.AG2010★ 1 cited

Configuration of lines in del Pezzo surfaces with Gosset Polytopes

Jae-Hyouk Lee

In this article, we study the divisor classes of del Pezzo surfaces, which are written as the sum of distinct lines with fixed intersection according to the inscribed simplexes and…