This paper describes an intersection theory for arithmetic varieties which generalizes the
work of Arakelov and others on arithmetic surfaces. We develop a theory both of arithmetic …

Using arithmetic intersection theory, a theory of heights for projective varieties over rings of
algebraic integers is developed. These heights are generalizations of those considered by …

Let i: Y—> X be an embedding of compact complex manifolds. Let r| be a holomorphic vector
bundle on Y and let (0.1)(^): o^-^ _,...-^-. 0 vv be a holomorphic chain complex of vector …

We prove in this paper an arithmetic analog of the Riemann-Roch-Grothendieck theorem for
the determinant of the cohomology of an Hermitian vector bundle of arbitrary rank on a …

Soient K un corps de nombres et K sa cloture algebrique. Soient XK une courbe propre,
lisse, geometriquement connexe de genre g> 2 sur K et J sa jacobienne. Soit Do un diviseur …

Soit E une courbe elliptique sur le corps C des nombres complexes. On note E [n](resp E [n])
le sous–groupe des points de n–torsion (resp l'ensemble des points d'ordre exactement n) …

Heights of Heegner Points on Shimura Curves Page 1 Annals of Mathematics, 153 (2001),
27-147 Heights of Heegner points on Shimura curves By SHOUWU ZHANG* Contents …

The aim of this paper is to study the modified diagonal cycle in the triple product of a curve
over a global field defined by Gross and Schoen. Our main result is an identity between the …

An index theorem in differential K–theory Page 1 Geometry & Topology 14 (2010) 903–966
903 An index theorem in differential K–theory DANIEL SFreed JOHN LOTT Let WX ! B be a …

We prove an arithmetic version of a theorem of Hirzebruch and Zagier saying that
Hirzebruch-Zagier divisors on a Hilbert modular surface are the coefficients of an elliptic …