Marc Hoyois

activity

20162025

most citedRemarks on étale motivic stable homotopy theory

3 citations · 3 across the 7 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AG2020

Milnor excision for motivic spectra

Elden Elmanto, Marc Hoyois, Ryomei Iwasa +1

We prove that the $\infty$ -category of motivic spectra satisfies Milnor excision: if $A \to B$ is a morphism of commutative rings sending an ideal $I \subset A$ isomorphically onto a…

math.AG2020

Cdh descent, cdarc descent, and Milnor excision

Elden Elmanto, Marc Hoyois, Ryomei Iwasa +1

We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh infinity-topos of a…

math.AG2020

The Hilbert scheme of infinite affine space and algebraic K-theory

Marc Hoyois, Joachim Jelisiejew, Denis Nardin +2

We study the Hilbert scheme $Hilb_{d} (A^{\infty})$ from an $A^{1}$ -homotopical viewpoint and obtain applications to algebraic K-theory. We show that the Hilber…