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19-XX $K$ -theory
19Exx $K$ -theory in geometry

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$K_{2}$ of Fermat curves with divisorial support at infinity

Raymond Ross (1994)

Compositio Mathematica

$K$ -theory of log-schemes. I.

Nizioł, Wiesława (2008)

Documenta Mathematica

Karoubi’s relative Chern character and Beilinson’s regulator

Georg Tamme (2012)

Annales scientifiques de l'École Normale Supérieure

We construct a variant of Karoubi’s relative Chern character for smooth varieties over $𝐂$ and prove a comparison result with Beilinson’s regulator with values in Deligne-Beilinson cohomology. As a corollary we obtain a new proof of Burgos’ Theorem that for number fields Borel’s regulator is twice Beilinson’s regulator.

Currently displaying 1 – 3 of 3