5 citations · 14 across the 11 of their papers we have counts for
15 papers
Additivity for the Motivic Trace and the Motivic Euler Characteristic
Roy Joshua, Pablo Pelaez
In this paper, we settle an open conjecture regarding the assertion that the Euler-characteristic of $\rmG/\NT$ for a split reductive group scheme $\rmG$ and the normalizer of a sp…
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…
On the convergence of the orthogonal spectral sequence
Cesar Galindo, Pablo Pelaez
We show that the orthogonal spectral sequence introduced by the second author is strongly convergent in Voevodsky's triangulated category of motives DM over a field k. In the conte…
The Motivic Segal-Becker Theorem
Roy Joshua, Pablo Pelaez
The present paper is a continuation of earlier work by Gunnar Carlsson and the first author on a motivic variant of the classical Becker-Gottlieb transfer and an additivity theorem…
Additivity and Double Coset formulae for the Motivic and Étale Becker-Gottlieb transfer
Roy Joshua, Pablo Pelaez
In this paper, which is a continuation of earlier work by the first author and Gunnar Carlsson, one of the first results we establish is the additivity of the motivic Becker-Gottli…
Motivic spectral sequence for relative homotopy K-theory
Amalendu Krishna, Pablo Pelaez
We construct a motivic spectral sequence for the relative homotopy invariant K-theory of a closed immersion of schemes . The -terms of this spectral sequence are…
The slice spectral sequence for singular schemes and applications
Amalendu Krishna, Pablo Pelaez
We examine the slice spectral sequence for the cohomology of singular schemes with respect to various motivic T-spectra, especially the motivic cobordism spectrum. When the base fi…
Mixed Motives and Motivic Birational Covers
Pablo Pelaez
We introduce a tower of localizing subcategories in Voevodsky's big (closed under infinite coproducts) triangulated category of motives. We show that the tower induces an interesti…
Motivic Birational Covers and Finite Filtrations on Chow Groups
Pablo Pelaez
The main goal of this paper is to break up motivic cohomology into smaller pieces as suggested by the conjectural Bloch-Beilinson filtrations for the Chow groups.
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…
Multiplicative Properties of the Slice Filtration
Pablo Pelaez
We show that the slice filtration introduced by Voevodsky is compatible in a suitable sense with the symmetric monoidal structure in the category of motivic symmetric T-spectra con…