Timeline for Modular forms and Petersson inner product via De Rham cohomology, Hodge filtration and cup products
Current License: CC BY-SA 4.0
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| Jul 16, 2022 at 21:27 | comment | added | David Loeffler | There's an account of this in section 6.1 of my paper with Kings and Zerbes "Rankin–Eisenstein classes for modular forms". | |
| Jul 15, 2022 at 21:53 | comment | added | Donu Arapura | I'm a Hodge theorist and not a modular forms guy, so you can take this with a grain of salt. A weight 2 modular form (with appropriate conditions at infinity) is a holomorphic differential form on a modular curve $X$, so it can be identified with an element of $H^0(X,\Omega^1)=F^1 H_{dR}^1(X,\C)$. For higher weight forms, you need to work de Rham cohomology with coefficients in variation of Hodge structure. I guess that's a partial answer. | |
| Jul 15, 2022 at 20:40 | history | asked | Lukas Heger | CC BY-SA 4.0 |