Arakelov geometry on degenerating curves

被引：0

作者：

Faltings, Gerd ^{[1
]}

机构：

[1] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2021年 / 771卷

关键词：

D O I：

10.1515/crelle-2020-0015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the behaviour of the Arakelov metric on a smooth curve under semistable degeneration. The final result is a complicated formula involving the local discriminants of the singularities, and the graph governing the degeneration.

引用

页码：65 / 84

页数：20

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