Tautological Cycles on Jacobian Varieties
The optimality of the Bounded Height Conjecture
In this article we show that the Bounded Height Conjecture is optimal in the sense that, if is an irreducible subvariety with empty deprived set in a power of an elliptic curve, then every open subset of does not have bounded height. The Bounded Height Conjecture is known to hold. We also present some examples and remarks.
The supersingular loci and mass formulas on Siegel modular varieties.
Theta functions on the Kodaira-Thurston manifold.