Correlation for Surfaces of General Type
alg-geom
2008-02-03 v2 代数几何
摘要
The main geometric result of this paper is that given any family of surfaces of general type f:X-->B, for sufficiently large n the fiber product X^n_B dominates a variety of general type. This result is especially interesting when it is combined with Lang's Conjecture. This states that for a variety V of general type over a number field K, the K rational points V(K) are not Zariski dense in V. Assuming Lang's Conjecture, we prove the existence of a uniform bound on the degree of the Zariski closure of the K-rational points of a surface of general type.
引用
@article{arxiv.alg-geom/9507015,
title = {Correlation for Surfaces of General Type},
author = {Brendan Hassett},
journal= {arXiv preprint arXiv:alg-geom/9507015},
year = {2008}
}
备注
AMSLaTeX. This version contains some minor corrections, and additions to the references