Hermitian Lattices and Bounds in K-Theory of Algebraic Integers

Elaborating on a method of Soulé, and using better estimates for the geometry of hermitian lattices, we improve the upper bounds for the torsion part of the $K$-theory of the rings of integers of number fields.

2010 Mathematics Subject Classification: 11R70 (primary); 11E39 (secondary)

Keywords and Phrases: $K$-theory of number fields, hermitian lattices

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