Characteristic cohomology of the infinitesimal period relation
C. Robles
TL;DR
This paper investigates the characteristic cohomology linked to the infinitesimal period relation, a system of PDEs governing variations of Hodge structures, providing new insights into its mathematical structure.
Contribution
It offers a detailed study of the characteristic cohomology of the infinitesimal period relation, advancing understanding of its geometric and algebraic properties.
Findings
Characterizes the cohomology groups associated with the system.
Provides new computational techniques for the cohomology.
Links cohomological properties to Hodge theory constraints.
Abstract
The infinitesimal period relation (also known as Griffiths' transversality) is the system of partial differential equations constraining variations of Hodge structure. This paper presents a study of the characteristic cohomology associated with that system of pde.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Nonlinear Waves and Solitons · Homotopy and Cohomology in Algebraic Topology