Building Abelian Functions with Generalised Baker-Hirota Operators
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Building Abelian Functions with Generalised Baker-Hirota Operators
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| Creator |
England, M.
Athorne, C. |
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| Description |
We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear operator defined in the work of Baker and Hirota. We give explicit formulae for the multiple applications of the operators, use them to define infinite sequences of Abelian functions of a prescribed pole structure and deduce the key properties of these functions. We apply the theory on the two canonical curves of genus three, presenting new explicit examples of vector space bases of Abelian functions. These reveal previously unseen similarities between the theories of functions associated to curves of the same genus.
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| Date |
2019-02-18T12:25:23Z
2019-02-18T12:25:23Z 2012 |
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| Type |
Article
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| Identifier |
Building Abelian Functions with Generalised Baker-Hirota Operators / M. England, Ch. Athorne // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 36 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14H40; 14H50; 14H70 DOI: http://dx.doi.org/10.3842/SIGMA.2012.037 http://dspace.nbuv.gov.ua/handle/123456789/148444 |
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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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