We propose a reformulation of the Faltings-Wustholz-nonlinear version of Schmidt's subspace theorem with the help of toric deformations and Chow polytopes. Moreover, we show that the arithmetic Bezout theorem in Arakelov geometry can be used to obtain a Bezout theorem for Mumford's degree of contact. This is a birational invariant often considered in geometric invariant theory (GIT): The originality of this last result relies on the interpretation of GIT as a degeneration:of Arakelov geometry. This should enable us to transfer all known results,of Arakelov geometry into GIT. [References: 27]
展开▼
