Jun-Muk Hwang

collaborators

4 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…