5 papers
On an extension problem on the moment curve
Seunghun Lee, Eran Nevo
We show that for , every finite geometric simplicial complex in with vertices on the moment curve can be extended to a triangulation of the cyc…
On conflict-free colorings of cyclic polytopes and the girth conjecture for graphs
Seunghun Lee, Shakhar Smorodinsky
We study the conflict-free chromatic number of hypergraphs derived from the family of facets of -dimensional cyclic polytopes with vertices. While in odd dimensions the…
Colorful circuits and colorful topes in oriented matroids
Minho Cho, Seunghun Lee, Frédéric Meunier
We provide a short proof of a conic version of the colorful Carathéodory theorem for oriented matroids. Holmsen's extension of the colorful Carathéodory theorem to oriented matro…
Q-divisor and Ampleness
Seunghun Lee
We give two criteria for a divisor on complex smooth projective variety to be ample using the multiplier ideal sheaf and the model category.
Homotopical presentation of categories
Seunghun Lee
We give a criterion for a functor \(F:C\rightarrow B\) between small categories to generate a small presentation of the universal model category \(U(B)\) in the sense of Dugger.