Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918401193017344 |
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| author | Asakura, Masanori Matsubara-Heo, Saiei-Jaeyeong |
| author_facet | Asakura, Masanori Matsubara-Heo, Saiei-Jaeyeong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20715 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces Asakura, Masanori Matsubara-Heo, Saiei-Jaeyeong Algebraic Geometry Number Theory 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. |
| title | Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2603.20715 |