Modular Form Representation for Periods of Hyperelliptic Integrals
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Modular Form Representation for Periods of Hyperelliptic Integrals
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| Creator |
Eilers, K.
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| Description |
To every hyperelliptic curve one can assign the periods of the integrals over the holomorphic and the meromorphic differentials. By comparing two representations of the so-called projective connection it is possible to reexpress the latter periods by the first. This leads to expressions including only the curve's parameters λj and modular forms. By a change of basis of the meromorphic differentials one can further simplify this expression. We discuss the advantages of these explicitly given bases, which we call Baker and Klein basis, respectively.
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| Date |
2019-02-15T18:37:46Z
2019-02-15T18:37:46Z 2016 |
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| Type |
Article
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| Identifier |
Modular Form Representation for Periods of Hyperelliptic Integrals / K. Eilers // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 10 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14H42; 30F30 DOI:10.3842/SIGMA.2016.060 http://dspace.nbuv.gov.ua/handle/123456789/147719 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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