|
|||||
 |
|
|
|
|
|
|
On log motives
Tetsushi Ito, Kazuya Kato, Chikara Nakayama and Sampei Usui |
|
Vol. 2 (2020), No. 4, 733–789
|
Abstract |
|
We define the categories of log motives and log mixed motives. The latter gives a new formulation for the category of mixed motives. We prove that the former is a semisimple abelian category if and only if the numerical equivalence and homological equivalence coincide, and that it is also equivalent to the latter being a Tannakian category. We discuss various realizations, formulate Tate and Hodge conjectures, and verify them in the curve case. |
PDF Access Denied
We have not been able to recognize your IP address
34.229.63.28
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
motive, mixed motive, log geometry
|
Mathematical Subject Classification 2010
Primary: 14C15
Secondary: 14A20, 14F20
|
Milestones
Received: 25 December 2017
Revised: 12 April 2019
Accepted: 24 June 2019
Published: 10 December 2019
|
Authors |
| Tetsushi Ito | |
| Department of Mathematics Kyoto University Kyoto Japan |
|
| Kazuya Kato | |
| Department of Mathematics University of Chicago Chicago, IL United States |
|
| Chikara Nakayama | |
| Department of Economics Hitotsubashi University Kunitachi Tokyo Japan |
|
| Sampei Usui | |
| Graduate School of Science Osaka University Toyonaka, Osaka Japan |
|
