A relative bigness inequality and equidistribution theorem over function fields

Wenbin Luo

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arXiv · 2112.13206

A relative bigness inequality and equidistribution theorem over function fields

Wenbin Luo

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Abstract

For any line bundle written as a subtraction of two ample line bundles, Siu's inequality gives a criterion on its bigness. We generalize this inequality to a relative case. The arithmetic meaning behind the inequality leads to its application on algebraic dynamic systems, which is the equidistribution theorem of generic and small net of subvarieties over a function field.

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Wenbin Luo. 2021-12-25. A relative bigness inequality and equidistribution theorem over function fields. https://arxiv.org/abs/2112.13206

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