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arXiv · 2603.20715

Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces

Masanori Asakura·Saiei-Jaeyeong Matsubara-Heo
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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 $L$-functions. Our proof is based on the analytic continuation of solutions to the GKZ system.

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Masanori Asakura, Saiei-Jaeyeong Matsubara-Heo. 2026-03-21. Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces. https://arxiv.org/abs/2603.20715

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