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math.AG2021
Twisted K-theory in motivic homotopy theory
Elden Elmanto, Denis Nardin, Maria Yakerson
In this paper, we study twisted algebraic -theory from a motivic viewpoint. For a smooth variety over a field of characteristic zero and an Azumaya algebra ove…
math.AG2021
Hermitian K-theory via oriented Gorenstein algebras
Marc Hoyois, Joachim Jelisiejew, Denis Nardin +1
We show that the hermitian K-theory space of a commutative ring R can be identified, up to A^1-homotopy, with the group completion of the groupoid of oriented finite Gorenstein R-a…