Diophantine Approximation of non-algebraic points on varieties II: Explicit estimates for arithmetic Hilbert Functions

Abstract

Because of its ineffectiveness, the usual arithmetic Hilbert-Samuel formula is not applicable in the context of Diophantine Approximation. In order to overcome this difficulty, the present paper presents explicit estimates for arithmetic Hilbert Functions of closed subvarieties in projective space.

arXiv comment25 pages, Proof of the main result simplified, alternative proof of an estimate for the algebraic Hilbert function added

Cited by in corpus (1)

• Diophantine Approximation on varieties III: Approximation of non-algebraic points by algebraic points