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arXiv · alg-geom/9507015

Correlation for Surfaces of General Type

Brendan Hassett
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Abstract

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.

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Brendan Hassett. 1995-07-30. Correlation for Surfaces of General Type. https://arxiv.org/abs/alg-geom/9507015

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