273 citations · 453 across the 15 of their papers we have counts for
19 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…
Punctured tubular neighborhoods and stable homotopy at infinity
Frédéric Déglise, Adrien Dubouloz, Paul Arne Østvær
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…
Formal ternary laws and Buchstaber's 2-groups
David Coulette, Frédéric Déglise, Jean Fasel +1
We develop the algebraic formalism of the formal ternary laws of C. Walter and we compare them to Buchstaber's 2-valued formal group laws. We also compute the "elementary" formal t…
Stable motivic homotopy theory at infinity
Adrien Dubouloz, Frédéric Déglise, Paul Arne Østvær
In this paper, we initiate a study of motivic homotopy theory at infinity. We use the six functor formalism to give an intrinsic definition of the stable motivic homotopy type at i…
Motivic decompositions of families with Tate fibers: smooth and singular cases
Mattia Cavicchi, Frédéric Déglise, Jan Nagel
We apply Wildeshaus's theory of motivic intermediate extensions to the motivic decomposition conjecture, formulated by Deninger-Murre and Corti-Hanamura. We first obtain a general…
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,…