74 citations · 133 across the 19 of their papers we have counts for
16 papers · 1 filter
Arithmetic fake compact Hermitian symmetric spaces of Type
Gopal Prasad, Sai-Kee Yeung
We reduced the classification of arithmetic fake compact Hermitian symmetric spaces of type to a few cases.
Open Torelli locus and complex ball quotients
Sai-Kee Yeung
We study the problem of non-existence of totally geodesic complex ball quotients in the open Torelli locus in a moduli space of principally polarized Abelian varieties using analyt…
Exceptional collection of objects on some fake projective planes
Ching-Jui Lai, Sai-Kee Yeung
The purpose of the article is to explain a new method to establish the existence of an exceptional collection of length three for a fake projective plane M with non-trivial automor…
Limit of Weierstrass Measure on Stable Curves
Ngai-Fung Ng, Sai-Kee Yeung
The goal of the paper is to study the limiting behavior of the Weierstrass measures on a smooth curve of genus as the curve approaches a certain nodal stable curve r…
Stability of the Albanese fibration on the Cartwright-Steger surface
Vincent Koziarz, Sai-Kee Yeung
We verify that the Albanese fibration of the Cartwright-Steger surface is stable, answering a problem left open in [CKY].
On the syzygies of ample line bundles on fake projective planes
Sui-Chung Ng, Sai-Kee Yeung
Our goal is to study the syzygies of the projective embeddings defined by ample line bundles on a fake projective plane S. The syzygies are studied in terms of the property .…
Explicit equations of the Cartwright-Steger surface
Lev A. Borisov, Sai-Kee Yeung
We construct explicit equations of Cartwright-Steger and related surfaces.
Very ampleness of the bicanonical line bundle on compact complex two ball quotients
Sai-Kee Yeung
The purpose of this note is to show that of any smooth compact complex two ball quotient is very ample, except possibly for four pairs of fake projective planes of minimal typ…
Examples of surfaces with canonical maps of maximal degree
Ching-Jui Lai, Sai-Kee Yeung
It was shown by A. Beauville that if the canonical map of a complex smooth projective surface is generically finite, then . The first e…
A surface of maximal canonical degree
Sai-Kee Yeung
It has been conjectured that the optimal canonical degree of a minimal surface of general type is 36, from a work in the 70's of Beauville who proved that 36 was an upper bound. Th…
On the Cartwright-Steger surface
Donald I. Cartwright, Vincent Koziarz, Sai-Kee Yeung
In this article, we study various concrete algebraic and differential geometric properties of the Cartwright-Steger surface. In particular, we determine the genus of a generic fibe…
Tower of coverings of quasi-projective varieties
Sai-Kee Yeung
The main goal of this article is to relate asymptotic geometric properties on a tower of coverings of a non-compact Kähler manifold of finite volume with reasonable geometric assum…
Addendum to `Fake Projective Planes'
Gopal Prasad, Sai-Kee Yeung
The addendum updates the results presented in the paper `Fake Projective Plane, Invent Math 168, 321-370 (2007)' and makes some additions and corrections. The fake projective plane…
Nonexistence of arithmetic fake compact hermitian symmetric spaces of types other than An
Gopal Prasad, Sai-Kee Yeung
We show that there are no arithmetic fake compact hermitian symmetric spaces of type other than An for n>4.
Arithmetic fake projective spaces and arithmetic fake grassmannians
Gopal Prasad, Sai-Kee Yeung
We show that if n>5, PU(n-1,1) does not contain a cocompact arithmetic subgroup with the same Euler-Poincare characteristic (in the sense of C.T.C. Wall) as the complex projective…
Fake projective planes
Gopal Prasad, Sai-Kee Yeung
A fake projective plane is a smooth complex surface which is not the complex projective plane but has the same Betti numbers as the complex projective plane. The first example of s…