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arXiv · 2602.14574

Poincar\'e duality in logarithmic motivic homotopy theory

Doosung Park
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Abstract

By adapting arguments of Annala-Hoyois-Iwasa in the log setting, we prove Poincar\'e duality for smooth projective morphisms in logarithmic motivic homotopy theory. As an application, we show that the crystalline cohomology of a log compactification is independent of the choice.

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Doosung Park. 2026-02-16. Poincar\'e duality in logarithmic motivic homotopy theory. https://arxiv.org/abs/2602.14574

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