Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs
Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito, Takao Yamazaki
TL;DR
This paper develops a theory of sheaves and cohomology on proper modulus pairs, complementing previous work on non-proper pairs, thereby expanding the mathematical framework for modulus sheaves with transfers.
Contribution
It introduces a new theory of sheaves and cohomology specifically for proper modulus pairs, filling a gap in the existing mathematical literature.
Findings
Established a cohomology theory for proper modulus pairs
Extended the framework of sheaves with transfers to proper pairs
Complemented previous non-proper modulus pair theories
Abstract
We develop a theory of sheaves and cohomology on the category of proper modulus pairs. This complements [KMSY21], where a theory of sheaves and cohomology on the category of non-proper modulus pairs has been developed.
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