Stella Anevski
Published 2012-07-17Version 1
In his thesis, N. Durov develops a theory of algebraic geometry in which schemes are locally determined by commutative algebraic monads. In this setting, one is able to construct the Arakelov geometric compactification of the spectrum of the ring of integers in a purely algebraic fashion. This object arises as the limit of a certain projective system of generalized schemes. We study the constituents of this projective system, and compute their algebraic K-theory.
Algebraic K-theory of varieties $SL_{2n}/Sp_{2n}$, $E_6/F_4$ and their twisted forms
Algebraic K-theory and derived equivalences suggested by T-duality for torus orientifolds
Algebraic K-theory and cubical descent
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