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arXiv · 2402.14546

Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface

Jeehoon Park·Junyeong Park·Philsang Yoo
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Abstract

We describe complex conjugation on the primitive middle-dimensional algebraic de Rham cohomology of a smooth projective hypersurface defined over a number field that admits a real embedding. We use Griffiths' description of the cohomology in terms of a Jacobian ring. The resulting description is algebraic up to transcendental factors explicitly given by certain periods.

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Jeehoon Park, Junyeong Park, Philsang Yoo. 2024-02-22. Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface. https://arxiv.org/abs/2402.14546

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