Intersection Numbers for Quotients of the Complex 2-Ball and Hilbert Modular Forms.
The Manin conjecture is established for a split singular del Pezzo surface of degree four, with singularity type .
We generalize L. J. Mordell’s construction of cubic surfaces for which the Hasse principle fails.
In this paper, we give a numerical characterization of nef arithmetic -Cartier divisors of -type on an arithmetic surface. Namely an arithmetic -Cartier divisor of -type is nef if and only if is pseudo-effective and .