Triangulated categories of motives over fs log schemes
Doosung Park
TL;DR
This paper develops a new theoretical framework called log motivic triangulated categories to understand the motivic aspects of cohomology theories for fs log schemes, and explores the Grothendieck six operations within this context.
Contribution
It introduces the concept of log motivic triangulated categories and studies their six operations formalism, advancing the theoretical understanding of motives over fs log schemes.
Findings
Defined log motivic triangulated categories
Established the six operations formalism for these categories
Provided foundational tools for motivic cohomology of fs log schemes
Abstract
We introduce the notion of log motivic triangulated categories, which is the theoretical framework for understanding the motivic aspect of cohomology theories for fs log schemes. Then we study the Grothendieck six operations formalism for log motivic triangulated categories.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology