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Determinant of Period Integral

Takeshi Saito·Tomohide Terasoma
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Abstract

Period integrals arise from the comparison between Betti cohomologies and de Rham cohomologies. In this paper, we give a formula for the determinant of period integrals in terms of the canonical pairing between Picard group of rank 1 realizations and relative Chow group. It is compatible with the similar formula for Galois modules proved by the first author, and as a consequence, under the assumption of Gersten resolution, the determinant of the cohomology of a determinantally motivic object is motivic.

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Takeshi Saito, Tomohide Terasoma. 1995-05-26. Determinant of Period Integral. https://arxiv.org/abs/alg-geom/9505027

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