Summer School 2017 - Arakelov Geometry and diophantine applications

Collection Summer School 2017 - Arakelov Geometry and diophantine applications

Organizer(s) Chen Huayi, Emmanuel Peyre, Gaël Rémond

Date(s) 12/06/2017 - 30/06/2017

linked URL https://if-summer2017.sciencesconf.org/

00:00:00 / 00:00:00

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Arithmetic Intersection (Part4)

By Christophe Soulé

Let X be a 2-dimensional, normal, flat, proper scheme over the integers. Assume ¯L and ¯M are two hermitian line bundles over X. Arakelov (and Deligne) defined a real number ¯L.¯M, the arithmetic intersection number of ¯L and ¯M. We shall explain the definition and the basic properties of this number. Next, we shall see how to extend this construction to higher dimension, and how to interpret it in terms of arithmetic Chow groups.

Information about the video

Date of recording 16/06/2017
Date of publication 18/02/2026
Institution Institut Fourier
Licence CC BY NC ND
Language English
Format MP4

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