42 citations · 119 across the 37 of their papers we have counts for
4 papers · 2 filters
Height inequalities and canonical class inequalities
Minhyong Kim
An expository lecture on the analogy between the subjects of the title. Delivered at the International Conference on Number Theory at the Korea Institute for Advanced Study in Dece…
The Picard-Lefschetz formula and a conjecture of Kato, the case of Lefschetz fibrations
Caterina Consani, Minhyong Kim
A conjecture of Kato says that the monodromy operator on the cohomology of a semi-stable degeneration of projective varieties is represented by an algebraic cycle on the special fi…
On the topology of algebraic surfaces and reduction modulo p
Dosang Joe, Minhyong Kim
We observe that the oriented homeomorphism type of a simply- connected smooth projective surface is determined by its algebraic structure modulo an odd prime of good reduction.
A vanishing theorem for Fano varieties in positive characteristic
Minhyong Kim
We prove a Kodaira-type vanishing theorem for the Witt vector sheaf on a Fano variety over a perfect field of characteristic p. As a corollary, we deduce that the number of rationa…