4 citations · 4 across the 3 of their papers we have counts for
8 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…
The trivial fiber topology and framed motives over the integers
A. Druzhinin, HÃ¥kon Kolderup, Paul Arne Ãstvær
This paper introduces the trivial fiber topology on schemes. For one-dimensional base schemes, we use it to describe fibrant replacements in the stable motivic homotopy category an…
Relative -Contractibility of Smooth Schemes
Adrien Dubouloz, Krishna Kumar Madhavan Vijayalakshmi, Paul Arne Ãstvær
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 Ãstvær
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
HÃ¥kon Kolderup, Oliver Röndigs, Paul Arne Ãstvær
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…
Punctured tubular neighborhoods and stable homotopy at infinity
Frédéric Déglise, Adrien Dubouloz, Paul Arne Ãstvær
In this revised version (August 2025), we add a survey of \infty-categorical (co)limits and a replacement lemma for higher functoriality (Lem. 1.4.5), a framework for explicit mode…