Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909162191978496 |
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| author | Park, Jeehoon Park, Junyeong Yoo, Philsang |
| author_facet | Park, Jeehoon Park, Junyeong Yoo, Philsang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface Park, Jeehoon Park, Junyeong Yoo, Philsang Algebraic Geometry 14C30 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. |
| title | Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface |
| topic | Algebraic Geometry 14C30 |
| url | https://arxiv.org/abs/2402.14546 |