论文标题
theta不变性和算术品种的音量函数
The theta invariants and the volume function on arithmetic varieties
论文作者
论文摘要
我们在算术品种中引入了Hermitian系列捆绑包的新算术不变。我们使用此不变性来测量相对于度量的音量函数的变化。本文的主要结果是关于算术复合品种的广义杂货指数定理。
We introduce a new arithmetic invariant for hermitian line bundles on an arithmetic variety. We use this invariant to measure the variation of the volume function with respect to the metric. The main result of this paper is a generalized Hodge index theorem on arithmetic toric varieties.