Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface
Year: 2024
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Park, Jeehoon, Park, Junyeong, Yoo, Philsang
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4392120876