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Semi-algebraic motives

We define a category of motives for semi-algebraic spaces and show that it is trivial. This implies that there is no good extension of algebraic de Rham cohomology to semi-algebraic spaces compatible with the period isomorphism.

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AuthorshipTopic signalWSemi-algebraic motivespreprint / 2020AAnnette HuberResearcherTmath.AG5393 works
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Semi-algebraic motives

preprint / 2020

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