Hermitian lattices and bounds in $K$-theory of algebraic integers
Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 71-83.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 11R70, 11E39
Keywords: $K$-theory of number fields, Hermitian lattices
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     title = {Hermitian lattices and bounds in $K$-theory of algebraic integers},
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Bayer-Fluckiger, Eva; Emery, Vincent; Houriet, Julien. Hermitian lattices and bounds in $K$-theory of algebraic integers. Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 71-83. http://geodesic.mathdoc.fr/item/DOCMA_2015__S2__a20/