Wanseok Lee

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20152025

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math.AG2025

Hierarchical structure of graded Betti numbers in the quadratic strand

Jong In Han, Sijong Kwak, Wanseok Lee

The classical results, initiated by Castelnuovo and Fano and later refined by Eisenbud and Harris, provide several upper bounds on the number of quadrics defining a nondegenerate p…

math.AG2018

On curves lying on a rational normal surface scroll

Wanseok Lee, Euisung Park

In this paper, we study the minimal free resolution of non-ACM divisors $X$ of a smooth rational normal surface scroll $S = S (a_{1}, a_{2}) \subset P^{r}$ . Our main result shows…

math.AG2015

On surfaces of maximal sectional regularity

Markus Brodmann, Wanseok Lee, Euisung Park +1

We study projective surfaces $X \subset P^{r}$ (with $r \geq 5$ ) of maximal sectional regularity and degree $d > r$ , hence surfaces for which the Castelnuovo-Mumford regular…

math.AG2015

Projective varieties of maximal sectional regularity

Markus Brodmann, Wanseok Lee, Euisung Park +1

We study projective varieties $X \subset P^{r}$ of dimension $n \geq 2$ , of codimension $c \geq 3$ and of degree $d \geq c + 3$ that are of maximal sectional regularity, i.e…