Determinant of Period Integral
Takeshi Saito, Tomohide Terasoma
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.
Create a lesson
Related papers
Complements on surfaces
V. V. Shokurov
Isolated rational curves on K3-fibered Calabi-Yau threefolds
Torsten Ekedahl, Trygve Johnsen, Dag Einar Sommervoll
Cohomology of complete intersections in toric varieties
Anvar R. Mavlyutov
The Gross-Kohnen-Zagier theorem in higher dimensions
Richard E. Borcherds
Real deformations and complex topology of plane curve singularities
Norbert A'Campo
Irreducibility of the moduli space of vector bundles on surfaces and Brill-Noether theory on singular curves
Tomas L. Gomez