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C. Soulé - Arithmetic Intersection (Part1)Summer School 2017 - Arakelov Geometry and diophantine applications

2017-06-12

Description : 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.


https://hal.archives-ouvertes.fr/medihal-01720026
Contributor : Fanny Bastien Connect in order to contact the contributor
Submitted on : Wednesday, February 28, 2018 - 5:18:17 PM
Last modification on : Tuesday, May 11, 2021 - 11:36:05 AM
Long-term archiving on: : Monday, May 28, 2018 - 3:46:57 PM