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arXiv · 2403.07645

Motivic six-functor formalism for log schemes

Doosung Park
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Abstract

We establish the motivic six-functor formalism for fs log schemes. In particular, we prove the exact base change property, projection formula, and Poincar\'e duality. We also define Borel-Moore motivic homology, G-theory, and Chow homology of fs log schemes and the category of Chow motives over fs log schemes.

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Doosung Park. 2024-03-12. Motivic six-functor formalism for log schemes. https://arxiv.org/abs/2403.07645

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