论文标题

摩尔和Mahler措施中的超曲面的算术体积

The arithmetic volume of hypersurfaces in toric varieties and Mahler measures

论文作者

Hajli, Mounir

论文摘要

在本文中,我们确定了光滑的射弹性变种中的高曲面的规范算术体积。结果,我们证明了平滑射弹性孢子品种中的超曲面的广义杂货指数。

In this paper we determine the canonical arithmetic volume of hypersurfaces in smooth projective toric varieties. As a consequence, we prove a generalized Hodge index theorem on hypersurfaces in smooth projective toric varieties.

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