5 papers
A Fake Projective Plane with an order 7 automorphism
JongHae Keum
A fake projective plane is a compact complex manifold of dimension 2 which has the same Betti numbers as the complex projective plane, but not isomorphic to the complex projective…
Finite groups of symplectic automorphisms of K3 surfaces in positive characteristic
Igor Dolgachev, JongHae Keum
We show that Mukai's classification of finite groups which may act symplectically on a complex K3 surface extends to positive characteristic under the assumptions that (i) the…
Fundamental groups of open K3 surfaces, Enriques surfaces and Fano 3-folds
J. Keum, D. -Q. Zhang
We investigate when the fundamental group of the smooth part of a K3 surface or Enriques surface with Du Val singularities, is finite. As a corollary we give an effective upper bou…
Some remarks on the universal cover of an open K3 surface
Fabrizio Catanese, JongHae Keum, Keiji Oguiso
We shall give, in an optimal form, a sufficient numerical condition for the finiteness of the fundamental group of the smooth locus of a normal K3 surface. We shall moreover prove…
Wild p-cyclic actions on K3 surfaces
I. Dolgachev, J. Keum
We consider algebraic actions of a cyclic group of order p on a K3 surface defined over an algebraically closed field of characteristic p. We classify possible loci of fixed points…