Arithmetic characteristic classes of automorphic vector bundles.
Arithmetic Clifford's theorem for Hermitian vector bundles
Arithmetic cycles on Picard modular surfaces and modular forms of Nebentypus.
Arithmetic differential equations in several variables
We survey recent work on arithmetic analogues of ordinary and partial differential equations.
Arithmetic discriminants and horizontal intersections.
Arithmetic Distance Functions and Height Fuctions in Diophantine Geometry.
Arithmetic Fujita approximation
We prove an arithmetic analogue of Fujita’s approximation theorem in Arakelov geometry, conjectured by Moriwaki, by using measures associated to -filtrations.
Arithmetic intersection theory
Arithmetic models for Hilbert modular varieties
Arithmetic of 0-cycles on varieties defined over number fields
Let be a rationally connected algebraic variety, defined over a number field We find a relation between the arithmetic of rational points on and the arithmetic of zero-cycles. More precisely, we consider the following statements: (1) the Brauer-Manin obstruction is the only obstruction to weak approximation for -rational points on for all finite extensions (2) the Brauer-Manin obstruction is the only obstruction to weak approximation in some sense that we define for zero-cycles of degree...
Arithmetic of formal groups and applications I: Universal norm subgroups.
Arithmetic of Pell surfaces
Arithmetic of Weil Curves.
Arithmetic on certain quadric bundles of relative dimension 2. I.
Arithmetic on Curves of genus 1. VI. The Tate-Safarevic group can be arbitrarily large.
Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.
Arithmetic over the rings of all algebraic integers.
Arithmetic variation of fibers in families of curves. Part I: Hurwitz monodromy criteria for rational points on all members of the familiy.
Arithmetic vector bundles and automorphic forms on Shimura vartieties. I.
Arithmetic vector bundles and automorphic forms on Shimura varieties, II