Kyoung-Seog Lee

activity

20132026

most citedRemarks on motives of moduli spaces of rank 2 vector bundles on curves

11 citations · 44 across the 16 of their papers we have counts for

collaborators

22 papers

math.CV2026

Dolbeault-Hochster Theory of Polytopal LVM Manifolds

Ludmil Katzarkov, Kyoung-Seog Lee, Ernesto Lupercio +1

We compute the Dolbeault cohomology of minimally stable polytopal LVM manifolds using a finite curvature complex. Let $B$ be the indispensable weight block. A canonical exact seque…

math.AG2026

Ulrich bundles on intersections of two quadrics

Jiwan Jung, Kyoung-Seog Lee, Han-Bom Moon

We construct Ulrich bundles on smooth intersections of two quadrics. We determine all possible ranks and prove the existence of indecomposable Ulrich bundles of every allowable ran…

math.AG2023

Derived categories of symmetric products and moduli spaces of vector bundles on a curve

Kyoung-Seog Lee, Han-Bom Moon

We show that the derived categories of symmetric products of a curve are embedded into the derived categories of the moduli spaces of vector bundles of large ranks on the curve. It…

math.AG2022

Combinatorially minimal Mori dream surfaces of general type

JongHae Keum, Kyoung-Seog Lee

In this paper, we suggest a new approach to study minimal surfaces of general type with $p_{g} = 0$ via their Cox rings, especially using the notion of combinatorially minimal Mori dre…

math.AG2022

Vector bundles on elliptic surfaces and logarithmic transformations

Ludmil Katzarkov, Kyoung-Seog Lee

In this paper, we study how certain vector bundles on an elliptic surface are changed under logarithmic transformations.

math.AG2022

Derived category and ACM bundles of moduli space of vector bundles on a curve

Kyoung-Seog Lee, Han-Bom Moon

We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree. We also generalize…

math.AG2021

Symmetric products and moduli spaces of vector bundles of curves

Kyoung-Seog Lee, M. S. Narasimhan

Let $X$ be a smooth projective curve of genus $g \geq 2$ and $M$ be the moduli space of rank 2 stable vector bundles on $X$ whose determinants are isomorphic to a fixed odd degree…

math.AG2021

Positivity of the Poincaré bundle on the moduli space of vector bundles and its applications

Kyoung-Seog Lee, Han-Bom Moon

We prove that the normalized Poincaré bundle on the moduli space of stable rank $r$ vector bundles with a fixed determinant on a smooth projective curve $X$ induces a family of nef…

math.AG2020★ 11 cited

Motivic decompositions of moduli spaces of vector bundles on curves

Tomás L. Gómez, Kyoung-Seog Lee

Let $r \geq 2, d$ be two integers which are coprime to each other. Let $C$ be a smooth projective curve of genus $g \geq 2$ and $M (r, L)$ be the moduli space of rank $r$ stable vect…

math.AG2019★ 1 cited

Divisors on surfaces isogenous to a product of mixed type with $p_{g} = 0$

Davide Frapporti, Kyoung-Seog Lee

In this paper, we study effective, nef and semiample cones of surfaces isogenous to a product of mixed type with $p_{g} = 0$ . In particular, we prove that all reducible fake quadrics a…

math.AG2018★ 11 cited

Remarks on motives of moduli spaces of rank 2 vector bundles on curves

Kyoung-Seog Lee

Let $C$ be an algebraic curve of genus $g \geq 2$ and $M_{L}$ be the moduli space of rank 2 stable vector bundles on $C$ whose determinants are isomorphic to a fixed line bundle $L$ …

math.AG2018

Semi-orthogonal decomposition of symmetric products of curves and canonical system

Indranil Biswas, Tomas L. Gomez, Kyoung-Seog Lee

Let $C$ be a smooth complex projective curve of genus $g \geq 2$ and $C_{d}$ its $d$ -fold symmetric product. In this paper, we study the question of semi-orthogonal decomposition…

math.AG2018

Examples of Mori dream surfaces of general type with $p_{g} = 0$

JongHae Keum, Kyoung-Seog Lee

In this paper we study effective, nef and semiample cones of minimal surfaces of general type with $p_{g} = 0.$ We provide examples of minimal surfaces of general type with $p_g=0, 2 \…

math.AG2017★ 7 cited

Equivariant Ulrich bundles on exceptional homogeneous varieties

Kyoung-Seog Lee, Kyeong-Dong Park

We prove that the only rational homogeneous varieties with Picard number 1 of the exceptional algebraic groups admitting irreducible equivariant Ulrich vector bundles are the Cayle…

math.AG2017★ 8 cited

Moduli spaces of Ulrich bundles on the Fano 3-fold $V_{5}$

Kyoung-Seog Lee, Kyeong-Dong Park

We study moduli spaces of Ulrich bundles of rank $r \geq 2$ on the Fano 3-fold $V_{5}$ of Picard number 1, degree 5 and index 2. We prove that the moduli space of stable Ulrich bundl…

math.AG2017★ 1 cited

Ulrich bundles on intersections of two 4-dimensional quadrics

Yonghwa Cho, Yeongrak Kim, Kyoung-Seog Lee

In this paper, we investigate the existence of Ulrich bundles on a smooth complete intersection of two $4$ -dimensional quadrics in $P^{5}$ by two completely different methods…

math.AG2015★ 4 cited

Quasiphantom categories on a family of surfaces isogenous to a higher product

Hyun Kyu Kim, Yun-Hwan Kim, Kyoung-Seog Lee

We construct exceptional collections of line bundles of maximal length 4 on $S = (C \times D) / G$ which is a surface isogenous to a higher product with $p_{g} = q = 0$ where $G = G (32, 27)$ is…

math.AG2015

All complete intersection varieties are Fano visitors

Young-Hoon Kiem, In-Kyun Kim, Hwayoung Lee +1

We prove that the derived category of a smooth complete intersection variety is equivalent to a full subcategory of the derived category of a smooth projective Fano variety. This e…

math.AG2015★ 1 cited

Fano visitors, Fano dimension and orbifold Fano hosts

Young-Hoon Kiem, Kyoung-Seog Lee

In arXiv:1503.00125, the authors proved that every complete intersection smooth projective variety $Y$ is a Fano visitor, i.e. its derived category $D^{b} (Y)$ is equivalent to a full…

math.AG2014

Exceptional collections on some fake quadrics

Kyoung-Seog Lee, Timofey Shabalin

We construct exceptional collections of maximal length on four families of surfaces of general type with $p_{g} = q = 0$ which are isogenous to a product of curves. From these constructi…

math.AG2013

Exceptional sequences of maximal length on some surfaces isogenous to a higher product

Kyoung-Seog Lee

Let $S = (C \times D) / G$ be a surface isogenous to a higher product of unmixed type with $p_{g} = q = 0$ , $G = (Z /2)^{3}$ or $(Z /2)^{4}$ . We construct exceptional sequences of…

math.AG2013

Derived categories of surfaces isogenous to a higher product

Kyoung-Seog Lee

We construct exceptional sequences of line bundles of maximal length on a family of surfaces isogenous to a higher product of unmixed type with $p_{g} = q = 0$ .

Dolbeault-Hochster Theory of Polytopal LVM Manifolds

Ulrich bundles on intersections of two quadrics

Derived categories of symmetric products and moduli spaces of vector bundles on a curve

Combinatorially minimal Mori dream surfaces of general type

Vector bundles on elliptic surfaces and logarithmic transformations

Derived category and ACM bundles of moduli space of vector bundles on a curve

Symmetric products and moduli spaces of vector bundles of curves

Positivity of the Poincaré bundle on the moduli space of vector bundles and its applications

Motivic decompositions of moduli spaces of vector bundles on curves

Divisors on surfaces isogenous to a product of mixed type with pg​=0

Remarks on motives of moduli spaces of rank 2 vector bundles on curves

Semi-orthogonal decomposition of symmetric products of curves and canonical system

Examples of Mori dream surfaces of general type with pg​=0

Equivariant Ulrich bundles on exceptional homogeneous varieties

Moduli spaces of Ulrich bundles on the Fano 3-fold V5​

Ulrich bundles on intersections of two 4-dimensional quadrics

Quasiphantom categories on a family of surfaces isogenous to a higher product

All complete intersection varieties are Fano visitors

Fano visitors, Fano dimension and orbifold Fano hosts

Exceptional collections on some fake quadrics

Exceptional sequences of maximal length on some surfaces isogenous to a higher product

Derived categories of surfaces isogenous to a higher product

Divisors on surfaces isogenous to a product of mixed type with $p_{g} = 0$

Examples of Mori dream surfaces of general type with $p_{g} = 0$

Moduli spaces of Ulrich bundles on the Fano 3-fold $V_{5}$