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.
De Jean-Benoît Bost
De Jean-Benoît Bost
De Per Salberger
De Per Salberger
De Per Salberger
De Per Salberger
De Antoine Chambert-Loir
De Antoine Chambert-Loir
De Antoine Chambert-Loir
De Antoine Chambert-Loir
De Romain Dujardin
De Romain Dujardin
De Romain Dujardin
De Zhizhong Huang
De Fabrizio Andreatta
De Fabrizio Andreatta
De Fabrizio Andreatta
De Fabrizio Andreatta
De Fabrizio Andreatta
De Yunqing Tang
De Gerard Freixas I Montplet
De Gerard Freixas I Montplet
De Ana-Maria Castravet
De Ana-Maria Castravet
De Ana-Maria Castravet
