Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Déglise, Frédéric"'
Autor:
Déglise, Frédéric, Pawar, Rakesh
With the aim of understanding Morel's result on the $\mathbb{A}^1$-homotopy sheaves over a field, one extends the theory of unstable spectral sequences of Bousfield and Kan in the $\infty$-categorical setting. With this natural extension, parallel to
Externí odkaz:
http://arxiv.org/abs/2411.10111
Autor:
Déglise, Frédéric, Fasel, Jean
In this article, we produce Grothendieck-Riemann-Roch formulas for cohomology theories that are not oriented in the classical sense. We then specialize to the case of cohomology theories that admit a so-called symplectic orientation and show how to c
Externí odkaz:
http://arxiv.org/abs/2403.09266
Autor:
Déglise, Frédéric
These notes are devoted to the foundations of Milnor-Witt K-theory of fields of arbitrary characteristic and without any perfectness assumptions. Extending the fundamental work of Morel, we establish all its functorial properties as stated in Feld's
Externí odkaz:
http://arxiv.org/abs/2305.18609
In this note we study the functoriality of the coniveau filtration in motivic homotopy theory via a moving lemma over a base scheme, extending previous works of Levine and Bachmann-Yakerson. The main result is that the motivic stable homotopy categor
Externí odkaz:
http://arxiv.org/abs/2303.15906
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 exponential characteristic in the equicharacteristic case. In order to do that,
Externí odkaz:
http://arxiv.org/abs/2210.14832
We initiate a study of punctured tubular neighborhoods and homotopy theory at infinity in motivic settings. We use the six functors formalism to give an intrinsic definition of the stable motivic homotopy type at infinity of an algebraic variety. Our
Externí odkaz:
http://arxiv.org/abs/2206.01564
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 ternary laws (after inverting 2) using a computer program available onl
Externí odkaz:
http://arxiv.org/abs/2112.03646
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 infinity of an algebraic variety. Our main computational tools include
Externí odkaz:
http://arxiv.org/abs/2104.03222
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 motivic decomposition for the Chow motive of an arbitrary smooth proje
Externí odkaz:
http://arxiv.org/abs/2007.11447
Publikováno v:
J. Ec. Polytech. Math. 8 (2021), 533-583
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, stability of constructible objects, and Grothendieck-Verdier duality
Externí odkaz:
http://arxiv.org/abs/2005.10147