Yeongrak Kim
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Yeongrak Kim has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Marian Aprodu
Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania
2 shared publications - Kyoung-Seog Lee
Department of Mathematics, POSTECH, Pohang, Korea
1 shared publication - Yonghwa Cho1 shared publication
Latest Publications
- Open Access
Ulrich bundles on intersections of two 4-dimensional quadrics
In this paper, we investigate the existence of Ulrich bundles on a smooth complete intersection of two $4$-dimensional quadrics in $\mathbb P^5$ by two completely different methods. First, we find good ACM curves and use Serre correspondence in order to construct Ulrich bundles, which is analogous to the construction on a cubic threefold by Casanellas-Hartshorne-Geiss-Schreyer. Next, we use Bondal-Orlov's semiorthogonal decomposition of the derived category of coherent sheaves to analyze Ulrich bundles. Using these methods, we prove that any smooth intersection of two 4-dimensional quadrics in $\mathbb P^5$ carries an Ulrich bundle of rank $r$ for every $r \ge 2$. Moreover, we provide a description of the moduli space of stable Ulrich bundles.Open AccessUlrich bundles on intersections of two 4-dimensional quadrics
In this paper, we investigate the existence of Ulrich bundles on a smooth complete intersection of two $4$-dimensional quadrics in $\mathbb P^5$ by two completely different methods. First, we find good ACM curves and use Serre correspondence in order to construct Ulrich bundles, which is analogous to the construction on a cubic threefold by Casanellas-Hartshorne-Geiss-Schreyer. Next, we use Bondal-Orlov's semiorthogonal decomposition of the derived category of coherent sheaves to analyze Ulrich bundles. Using these methods, we prove that any smooth intersection of two 4-dimensional quadrics in $\mathbb P^5$ carries an Ulrich bundle of rank $r$ for every $r \ge 2$. Moreover, we provide a description of the moduli space of stable Ulrich bundles. - 21 January 2017
- Published by Springer Nature in ANNALI DELL'UNIVERSITA' DI FERRARA
- Vol. 63 (1) , 9-23
Ulrich line bundles on Enriques surfaces with a polarization of degree four
- 21 January 2017
- Published by Springer Nature in ANNALI DELL'UNIVERSITA' DI FERRARA
- Vol. 63 (1) , 9-23
Ulrich line bundles on Enriques surfaces with a polarization of degree four
- Open Access
Ulrich line bundles on Enriques surfaces with a polarization of degree four
In this paper, we prove the existence of an Enriques surface with a polarization of degree four with an Ulrich bundle of rank one. As a consequence, we prove that general polarized Enriques surfaces of degree four, with the same numerical polarization class, carry Ulrich line bundles.
Open AccessUlrich line bundles on Enriques surfaces with a polarization of degree four
In this paper, we prove the existence of an Enriques surface with a polarization of degree four with an Ulrich bundle of rank one. As a consequence, we prove that general polarized Enriques surfaces of degree four, with the same numerical polarization class, carry Ulrich line bundles.