Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces
Algebraic Geometry
2026-03-24 v1 Number Theory
Abstract
For a generic one-parameter degeneration of projective hypersurfaces, we show that the periods of the limiting mixed Hodge structure are generated by certain special values of logarithm, Gamma and Dirichlet -functions. Our proof is based on the analytic continuation of solutions to the GKZ system.
Keywords
Cite
@article{arxiv.2603.20715,
title = {Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces},
author = {Masanori Asakura and Saiei-Jaeyeong Matsubara-Heo},
journal= {arXiv preprint arXiv:2603.20715},
year = {2026}
}
Comments
46 pages, comments are welcome