5 citations · 14 across the 11 of their papers we have counts for
6 papers · 1 filter
On the coniveau filtration on algebraic -theory of singular schemes
Jinhyun Park, Pablo Pelaez
We construct two functorial filtrations on the algebraic -theory of schemes of finite type over a field that may admit arbitrary singularities and may be non-reduced, one ca…
Slices of Co-Operations for
Pablo Pelaez, Charles Weibel
We verify a conjecture of Voevodsky, concerning the slices of co-operations in motivic -theory.
The Unstable Slice Filtration
Pablo Pelaez
The main goal of this paper is to construct an analogue of Voevodsky's slice filtration in the motivic unstable homotopy category. The construction is done via birational invariant…
Birational Motivic Homotopy Theories and the Slice Filtration
Pablo Pelaez
This paper is part of an endeavor to define an analogue of the slice filtration in the unstable motivic homotopy category. Our approach was inspired by the fact that the triangulat…
On the Orientability of the Slice Filtration
Pablo Pelaez
Let be a Noetherian separated scheme of finite Krull dimension. We show that the layers of the slice filtration in the motivic stable homotopy category $\stablehomotopy$ are st…
On the Functoriality of the Slice Filtration
Pablo Pelaez
Let be a field with resolution of singularities, and a separated -scheme of finite type with structure map . We show that the slice filtration in the motivic stable h…