Sang-Bum Yoo

collaborators

4 papers

math.AG2026

Infinitesimal automorphisms and obstruction theory on the moduli of $L$ -valued $G$ -Higgs bundles

Sanghyeon Lee, Sang-Bum Yoo

For an arbitrary reductive group $G$ , we compute the infinitesimal automorphisms of $L$ -valued principal $G$ -Higgs bundles over a compact KÃ¤hler manifold $X$ , extending known resu…

math.AG2026

A chain of $C^{*}$ -flips of the moduli spaces of $O$ -twisted rank 2 constrained framed Hitchin pairs on a smooth curve

YongJoo Shin, Sang-Bum Yoo

Let $X$ be a smooth complex projective curve. We prove that there exists a surjective commutative forgetful diagram from the chain of $C^{*}$ -flips of the moduli spaces of…

math.AG2025

Virtual Poincare polynomial of moduli space of semistable sheaves of rank two on reducible curves

Sukmoon Huh, Dongsun Lim, Sang-Bum Yoo

The main purpose of this paper is to give an explicit description of the moduli space of semistable sheaves of rank two on a stable curve C obtained by gluing two smooth curves at…

math.AG2025

Rational curves in a quadric threefold via an $SL (2, C)$ -representation

Kiryong Chung, Sukmoon Huh, Sang-Bum Yoo

In this paper, we regard the smooth quadric threefold $Q_{3}$ as Lagrangian Grassmannian and search for fixed rational curves of low degree in $Q_{3}$ with respect to a torus actio…

Infinitesimal automorphisms and obstruction theory on the moduli of L-valued G-Higgs bundles

A chain of C∗-flips of the moduli spaces of O-twisted rank 2 constrained framed Hitchin pairs on a smooth curve

Virtual Poincare polynomial of moduli space of semistable sheaves of rank two on reducible curves

Rational curves in a quadric threefold via an SL(2,C)-representation

Infinitesimal automorphisms and obstruction theory on the moduli of $L$ -valued $G$ -Higgs bundles

A chain of $C^{*}$ -flips of the moduli spaces of $O$ -twisted rank 2 constrained framed Hitchin pairs on a smooth curve

Rational curves in a quadric threefold via an $SL (2, C)$ -representation