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

共 50 条

[1] On the Arakelov geometry of moduli spaces of curves
Hain, R
Reed, D
JOURNAL OF DIFFERENTIAL GEOMETRY, 2004, 67 (02) : 195 - 228
[2] Arakelov Geometry over Adelic Curves Introduction
Chen, Huayi
Moriwaki, Atsushi
ARAKELOV GEOMETRY OVER ADELIC CURVES, 2020, 2258 : IX - +
[3] Correspondences in Arakelov geometry and applications to the case of Hecke operators on modular curves
Menares, Ricardo
MANUSCRIPTA MATHEMATICA, 2011, 136 (3-4) : 501 - 543
[4] Correspondences in Arakelov geometry and applications to the case of Hecke operators on modular curves
Ricardo Menares
Manuscripta Mathematica, 2011, 136 : 501 - 543
[5] New perspectives in Arakelov geometry
Consani, C
Marcolli, M
NUMBER THEORY, 2004, 36 : 81 - 102
[6] ON THE ARAKELOV THEORY OF ELLIPTIC CURVES
de Jung, Robin
ENSEIGNEMENT MATHEMATIQUE, 2005, 51 (3-4): : 179 - 201
[7] Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry
Caterina Consani
Matilde Marcolli
Selecta Mathematica, 2004, 10 (2)
[8] Spectral triples in Arakelov geometry
Consani, C
Marcolli, M
COMPTES RENDUS MATHEMATIQUE, 2002, 335 (10) : 779 - 784
[9] ON ISOPERIMETRIC INEQUALITY IN ARAKELOV GEOMETRY
Chen, Huayi
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2018, 146 (04): : 649 - 673
[10] ARAKELOV GEOMETRY OF ARITHMETIC SURFACES
SOULE, C
ASTERISQUE, 1989, (177-78) : 327 - 343

← 1 2 3 4 5 →