Subsheaves of a hermitian torsion free coherent sheaf on an arithmetic variety

Details Subsheaves of a hermitian torsion free coherent sheaf on an arithmetic variety Subsheaves of a hermitian torsion free coherent sheaf on an arithmetic variety

2006-12-11

arxiv.org/abs/math/0612268v1

Mathematics

Algebraic Geometry

Scientific paper

In this paper, we consider a finiteness problem of saturated subsheaves of a
hermitian locally free sheaf on an arithmetic variety. As an application, we
could prove the unique existence of an arithmetic Harder-Narasimham filtration.

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