51 citations · 235 across the 34 of their papers we have counts for
4 papers · 1 filter
Rational points on fibrations with few non-split fibres
Yonatan Harpaz, Dasheng Wei, Olivier Wittenberg
We revisit the abstract framework underlying the fibration method for producing rational points on the total space of fibrations over the projective line. By fine-tuning its depend…
Cartesian Fibrations of -categories
Andrea Gagna, Yonatan Harpaz, Edoardo Lanari
In this article we introduce four variance flavours of cartesian 2-fibrations of -bicategories with -bicategorical fibres, in the framework of scaled simplicial set…
Bilimits are Bifinal Objects
Andrea Gagna, Yonatan Harpaz, Edoardo Lanari
We prove that a (lax) bilimit of a 2-functor is characterized by the existence of a limiting contraction in the 2-category of (lax) cones over the diagram. We also investigate the…
Stable moduli spaces of hermitian forms
Fabian Hebestreit, Wolfgang Steimle
We prove that Grothendieck-Witt spaces of Poincaré categories are, in many cases, group completions of certain moduli spaces of hermitian forms. This, in particular, identifies Kar…