Kyoung-Seog Lee

activity

20152022

most citedMotivic decompositions of moduli spaces of vector bundles on curves

11 citations · 11 across the 3 of their papers we have counts for

collaborators

8 papers

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.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.AG2018

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…