| |
|
Shane Kelly
Log homotopy types are homotopy types with modulus
view
print
|
|
| Published: |
August 25, 2026. |
| Keywords: |
Motivic homotopy theory with modulus, logarithmic motivic homotopy theory, modulus pairs, log schemes, ramification filtrations, class field theory. |
| Subject [2020]: |
Primary 14F42; Secondary 14A21, 11R37. |
|
|
Abstract
We show that the category of log homotopy types is a full subcategory of a category of homotopy types with modulus.
|
|
| Acknowledgements
I thank Federico Binda and Doosung Park for answering many questions about log motives. I thank Bruno Kahn and Shuji Saito for asking questions about an earlier version of this note. I apologise to Miyazaki who, due to poor communication, wrote up a version of Theorem 1.1 independently. I also thank the many non-specialists at various conference coffee breaks who have expressed interest in this work.
|
|
| Author information
Shane Kelly
Graduate School of Mathematical Sciences
University of Tokyo
3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan
shanekelly@g.ecc.u-tokyo.ac.jp
|
|