105 citations · 251 across the 33 of their papers we have counts for
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Existence and uniqueness of E-infinity structures on motivic K-theory spectra
Niko Naumann, Markus Spitzweck, Paul Arne Østvær
We show that algebraic K-theory KGL, the motivic Adams summand ML and their connective covers acquire unique E-infinity structures refining naive multiplicative structures in the m…
Brown representability in $\A^1$-homotopy theory
N. Naumann, M. Spitzweck
We prove the following result of V. Voevodsky. If is a finite dimensional noetherian scheme such that $S=\cup_α\Spec(R_α)$ for {\em countable} rings , then the stable moti…
Chern classes, K-theory and Landweber exactness over nonregular base schemes
Niko Naumann, Markus Spitzweck, Paul Arne Østvær
The purpose of this paper is twofold. First, we use the motivic Landweber exact functor theorem to deduce that the Bott inverted infinite projective space is homotopy algebraic …
Motivic Landweber Exactness
Niko Naumann, Paul Arne Østvær, Markus Spitzweck
We prove a motivic version of Landweber's exact functor theorem from topology. The main result is that the assignment given by a Landweber-type formula using the MGL-homology of a…
A quantitative sharpening of Moriwaki's arithmetic Bogomolov inequality
Niko Naumann
A. Moriwaki proved the following arithmetic analogue of the Bogomolov unstability theorem. If a torsion-free hermitian coherent sheaf on an arithmetic surface has negative discrimi…
On the Structure of the Weil Restriction of Abelian Varieties
Claus Diem, N. Naumann
We give a description of endomorphism rings of Weil restrictions of abelian varieties with respect to finite Galois extensions. The results are applied to study the isogeny decompo…