|
|||||
 |
|
|
|
On
modules over motivic ring spectra
Elden Elmanto and Håkon Kolderup |
|
Vol. 5 (2020), No. 2, 327–355
|
Abstract |
|
We provide an axiomatic framework that characterizes the stable -categories that are module categories over a motivic spectrum. This is done by invoking Lurie’s -categorical version of the Barr–Beck theorem. As an application, this gives an alternative approach to Röndigs and Østvær’s theorem relating Voevodsky’s motives with modules over motivic cohomology and to Garkusha’s extension of Röndigs and Østvær’s result to general correspondence categories, including the category of Milnor–Witt correspondences in the sense of Calmès and Fasel. We also extend these comparison results to regular Noetherian schemes over a field (after inverting the residue characteristic), following the methods of Cisinski and Déglise. |
PDF Access Denied
We have not been able to recognize your IP address
44.200.94.150
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
motivic homotopy theory, generalized motivic cohomology,
Milnor–Witt K-theory, Barr–Beck–Lurie theorem,
$\infty$-categories
|
Mathematical Subject Classification 2010
Primary: 14F40, 14F42
Secondary: 19E15, 55P42, 55P43, 55U35
|
Milestones
Received: 12 June 2019
Revised: 6 October 2019
Accepted: 22 October 2019
Published: 20 June 2020
|
Authors |
| Elden Elmanto | |
| Harvard University Cambridge, MA United States |
|
| Håkon Kolderup | |
| University of Oslo Oslo Norway |
|
