40 citations
7 papers · 1 filter
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…
On higher syzygies of ruled surfaces II
Euisung Park
In this article we we continue the study of property of irrational ruled surfaces begun in \cite{ES}. Let be a ruled surface over a curve of genus with a minim…
A bound on the number of curves of a given degree through a general point of a projective variety
Jun-Muk Hwang
Let be an irreducible projective variety of dimension in a projective space and let be a point of . Denote by the space of curves of degree …
On the volumes of complex hyperbolic manifolds with cusps
Jun-Muk Hwang
We study the problem of bounding the number of cusps of a complex hyperbolic manifold in terms of its volume. Applying algebro-geometric methods using Mumford's work on toroidal co…
Rigidity of surjective holomorphic maps to Calabi-Yau manifolds
Jun-Muk Hwang
We prove that the space of surjective holomorphic maps from a compact complex manifold to a compact Kähler manifold with trivial canonical class and finite fundamental group is dis…
Gromov-Witten Invariants for Abelian and Nonabelian Quotients
Aaron Bertram, Ionut Ciocan-Fontanine, Bumsig Kim
We make precise conjectures relating the genus zero Gromov-Witten theory of a nonabelian GIT quotient X//G to that of the associated abelian quotient X//T by a maximal torus T in G…