11 citations · 42 across the 23 of their papers we have counts for
24 papers
Motivic Hochschild homology of mod 2 motivic cohomology over algebraically closed fields
Tom Bachmann, Robert Burklund, Bjørn Ian Dundas +1
We compute the tensor of the multiplicative group scheme with the mod- motivic cohomology spectrum in normed motivic spectra over the complex numbers, and find that the resultin…
Relative -Contractibility of Smooth Schemes
Adrien Dubouloz, Krishna Kumar Madhavan Vijayalakshmi, Paul Arne Østvær
We study smooth morphisms that are -contractible in the unstable -homotopy category . For base schemes of finite…
Log syntomic cohomology of truncated polynomials and coordinate axes
Doosung Park, Paul Arne Østvær
We study the logarithmic syntomic cohomology of fine and saturated log schemes and its realization in the logarithmic motivic stable homotopy category $\mathrm{logSH}(\mathrm{pt}_\…
Hermitian -theory and Milnor-Witt motivic cohomology over
Håkon Kolderup, Oliver Röndigs, Paul Arne Østvær
The theme of this paper is to compute hermitian -groups in terms of the recently developed theory of Milnor-Witt motivic cohomology. Our approach makes use of the very effective…
Cousin complexes in motivic homotopy theory
A. Druzhinin, Håkon Kolderup, Paul Arne Østvær
We investigate Cousin (bi-)complexes in the setting of motives. Over essentially smooth local schemes, the columns of the Cousin bicomplex with coefficients in any stable motivic h…
Logarithmic motivic homotopy theory
Federico Binda, Doosung Park, Paul Arne Østvær
This work is dedicated to the construction of a new motivic homotopy theory for (log) schemes, generalizing Morel-Voevodsky's (un)stable -homotopy category. Our frame…