Determinant of Period Integral
alg-geom
2008-02-03 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.alg-geom/9505027,
title = {Determinant of Period Integral},
author = {Takeshi Saito and Tomohide Terasoma},
journal= {arXiv preprint arXiv:alg-geom/9505027},
year = {2008}
}
Comments
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