论文标题
希尔伯特 - 塞缪尔公式和阿德曲线的积极性
Hilbert-Samuel formula and positivity over adelic curves
论文作者
论文摘要
我们在阿拉克洛夫几何形状的环境中建立了一种算术希尔伯特 - 塞缪尔定理，该算术在阿德氏线捆绑包中描述了Adelic Line束的Metrrized分级线性序列的渐近行为。然后，我们研究Adelic Line束的阳性条件。
We establish, in the setting of Arakelov geometry over adelic curves, an arithmetic Hilbert-Samuel theorem describing the asymptotic behaviour of the metrized graded linear series of an adelic line bundle in terms of its arithmetic intersection number. We then study positivity conditions of adelic line bundles.
