Jun-Muk Hwang

activity

20242026

collaborators

6 papers

math.AG2026

Fundamental forms and infinitesimal symmetries of projective varieties

Jun-Muk Hwang, Qifeng Li

We give a bound on the dimension of the linear automorphism group of a projective variety $Z \subset P V$ in terms of its fundamental forms at a general point. Moreover, w…

math.AG2025

Minimal rational curves on equivariant compactifications of symmetric spaces

Jun-Muk Hwang, Qifeng Li

Let $G / H$ be a symmetric space of a complex linear algebraic group $G$ and let $X$ be a nonsingular equivariant compactification of $G / H$ . We investigate the question: when are min…

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.AG2025

Symmetrizer group of a projective hypersurface

Jun-Muk Hwang

To each projective hypersurface which is not a cone, we associate an abelian linear algebraic group called the symmetrizer group of the corresponding symmetric form. This group des…

math.DG2024

Characteristic conic connections and torsion-free principal connections

Jun-Muk Hwang, Qifeng Li

We study the relation between torsion tensors of principal connections on G-structures and characteristic conic connections on associated cone structures. We formulate sufficient c…

math.AG2024

Characterizing subadjoint varieties among Legendrian varieties

Jun-Muk Hwang

For a symplectic vector space $V$ , a projective subvariety $Z \subset P V$ is a Legendrian variety if its affine cone $Z \subset V$ is Lagrangian. In addition to th…