Insong Choe

activity

20042025

most citedLagrangian subbundles of orthogonal bundles of odd rank over an algebraic curve

3 citations · 9 across the 13 of their papers we have counts for

collaborators

16 papers

math.AG2025

Deformations of the tangent bundle of a projective hypersurface

Insong Choe, Kiryong Chung, Jun-Muk Hwang

For a nonsingular hypersurface $X \subset P^{n}, n \geq 4,$ of degree $d \geq 2$ , we show that the space $H^1(X, \End(T_X))$ of infinitesimal deformations of the tangent bun…

math.AG2023

Counting maximal isotropic subbundles of orthogonal bundles over a curve

Daewoong Cheong, Insong Choe, George H. Hitching

Let $C$ be a smooth projective curve and $V$ an orthogonal bundle over $C$ . Let $\IQeV$ be the isotropic Quot scheme parameterizing degree $e$ isotropic subsheaves of maximal rank…

math.AG2022

Simplicity of tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve

Insong Choe, George H. Hitching, Jaehyun Hong

The variety of minimal rational tangents associated to Hecke curves was used by J.-M.Hwang [8] to prove the simplicity of the tangent bundle on the moduli of vector bundles over a…

math.AG2022★ 2 cited

Low rank orthogonal bundles and quadric fibrations

Insong Choe, George H. Hitching

Let $C$ be a curve and $V \to C$ an orthogonal vector bundle of rank $r$ . For $r \leq 6$ , the structure of $V$ can be described using tensor, symmetric and exterior products of bund…

math.AG2020

Isotropic Quot schemes of orthogonal bundles over a curve

Daewoong Cheong, Insong Choe, George H. Hitching

We study the isotropic Quot schemes $I Q_{e} (V)$ parameterizing degree $e$ isotropic subsheaves of maximal rank of an orthogonal bundle $V$ over a curve. The scheme $I Q_{e} (V)$ contai…

math.AG2020★ 2 cited

Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles

Insong Choe, Kiryong Chung, Sanghyeon Lee

Let $C$ be an algebraic curve of genus $g$ and $L$ a line bundle over $C$ . Let $MS_{C} (n, L)$ and $M O_{C} (n, L)$ be the moduli spaces of $L$ -valued symplectic and ort…