6 papers · 2 filters
Mori dream fibers and the geometric generic fiber
Dae-Won Lee, Masaru Nagaoka
We construct a smooth projective family of rational surfaces over . The Mori dream property of a fiber is determined by the torsion of the normal bundle…
Coupled Pklt Tuples and Varieties of Pklt Type
Donghyeon Kim, Dae-Won Lee
We introduce asymptotic multiplier ideal sheaves and log canonical thresholds associated with tuples of pseudoeffective divisors on a projective klt pair. We prove that the thresho…
Hilbert schemes of low-degree rational curves on a prime Fano threefold of degree
Kiryong Chung, Dae-Won Lee
In this paper, we give a complete description of the Hilbert schemes of rational curves up to degree on a prime Fano threefold of degree . One of the key ingredients in…
Flexibility of affine cones over blow-ups of weighted projective planes
In-Kyun Kim, Dae-Won Lee, Masatomo Sawahara
Let be the surface obtained by blowing up at general smooth points, where . For every very ample Cartier divisor on , we prove th…
On the quasi-monomiality of the - and -invariants
Donghyeon Kim, Dae-Won Lee
In this paper, we show that for any projective klt pair over an algebraically closed field of characteristic \(0\) and any big -Cartier -divisor …
Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs
Donghyeon Kim, Dae-Won Lee
We give an alternative proof of the existence of the anticanonical minimal model program for potentially klt pairs, assuming the anticanonical divisor admits a birational Zariski d…