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
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.