Subsheaves of a hermitian torsion free coherent sheaf on an arithmetic variety
classification
🧮 math.AG
math.NT
keywords
arithmeticfreehermitiansheafsubsheavesvarietyapplicationcoherent
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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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