Determinant of Period Integrals

@inproceedings{Saito1997DeterminantOP,
  title={Determinant of Period Integrals},
  author={Takeshi Saito and TOMOHIDE TERASOMA},
  year={1997}
}
We prove a formula for the determinant of period integrals. Period integrals are comparison between Betti cohomologies and de Rham cohomologies. Our formula Theorem 1 in Section 4 expresses the determinant of period integrals as the product of the periods evaluated at the relative canonical cycles and of product of special values of the Γ-function. The formula is a Hodge version of Theorem 1 of [S2] for l-adic cohomology. Together with this, it gives a motivic formula, Theorem 3 in Section 5… CONTINUE READING
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