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

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

2007-11-11

arxiv.org/abs/0711.1667v1

Mathematics

Algebraic Geometry

34 pages

Scientific paper

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.

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