5 papers
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 …
On the normalized local volume of a non-closed point
Donghyeon Kim
In this note, we show that the normalized local volume of a non-closed point can be expressed in terms of the normalized local volumes of closed points.
Asymptotically flat divisors and strongly -regular type varieties
Donghyeon Kim
In this paper, we define the notion of asymptotically flat divisor on a normal variety over $\C$, and prove that if is a strongly -regular type variety and is asymptot…
On volumes and the generic invariance of Fano type varieties
Donghyeon Kim
We demonstrate the generic invariance of the Fano type property in cases where the volumes of anti-canonical divisors of Fano type fibers are a constant over a Zariski-dense subset…
The number of smooth varieties in an MMP on a 3-fold of Fano type
Donghyeon Kim
In this paper, we prove that for a threefold of Fano type and a movable -Cartier Weil divisor on , the number of smooth varieties that arise during the runni…