Algebraic de Rham theory for weakly holomorphic modular forms of level one
Publication
, Journal Article
Brown, F; Hain, R
Published in: Algebra and Number Theory
January 1, 2018
We establish an Eichler–Shimura isomorphism for weakly modular forms of level one. We do this by relating weakly modular forms with rational Fourier coefficients to the algebraic de Rham cohomology of the modular curve with twisted coefficients. This leads to formulae for the periods and quasiperiods of modular forms.
Duke Scholars
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Published In
Algebra and Number Theory
DOI
ISSN
1937-0652
Publication Date
January 1, 2018
Volume
12
Issue
3
Start / End Page
723 / 750
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
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Brown, F., & Hain, R. (2018). Algebraic de Rham theory for weakly holomorphic modular forms of level one. Algebra and Number Theory, 12(3), 723–750. https://doi.org/10.2140/ant.2018.12.723
Brown, F., and R. Hain. “Algebraic de Rham theory for weakly holomorphic modular forms of level one.” Algebra and Number Theory 12, no. 3 (January 1, 2018): 723–50. https://doi.org/10.2140/ant.2018.12.723.
Brown F, Hain R. Algebraic de Rham theory for weakly holomorphic modular forms of level one. Algebra and Number Theory. 2018 Jan 1;12(3):723–50.
Brown, F., and R. Hain. “Algebraic de Rham theory for weakly holomorphic modular forms of level one.” Algebra and Number Theory, vol. 12, no. 3, Jan. 2018, pp. 723–50. Scopus, doi:10.2140/ant.2018.12.723.
Brown F, Hain R. Algebraic de Rham theory for weakly holomorphic modular forms of level one. Algebra and Number Theory. 2018 Jan 1;12(3):723–750.
Published In
Algebra and Number Theory
DOI
ISSN
1937-0652
Publication Date
January 1, 2018
Volume
12
Issue
3
Start / End Page
723 / 750
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics