2 citations · 2 across the 2 of their papers we have counts for
5 papers
Perverse homotopy heart and MW-modules
Frédéric Déglise, Niels Feld, Fangzhou Jin
We compute the perverse delta-homotopy heart of the motivic stable homotopy category over a base scheme with a dimension function delta, rationally or after inverting the exponenti…
On the rational motivic homotopy category
Frédéric Déglise, Jean Fasel, Adeel A. Khan +1
We study the structure of the rational motivic stable homotopy category over general base schemes. Our first class of results concerns the six operations: we prove absolute purity,…
Borel isomorphism and absolute purity
Frédéric Déglise, Jean Fasel, Fangzhou Jin +1
We prove absolute purity for the rational motivic sphere spectrum. The main ingredient is the construction of an analogue of the Chern character, where algebraic K-theory is replac…
Künneth formulas for motives and additivity of traces
Fangzhou Jin, Enlin Yang
We prove several Künneth formulas in motivic homotopy categories and deduce a Verdier pairing in these categories following SGA5, which leads to the characteristic class of a const…
Algebraic G-theory in motivic homotopy categories
Fangzhou Jin
We prove that algebraic G-theory in is representable in unstable and stable motivic homotopy categories; in the stable category we identify it with the Borel-Moore theory associate…