Period Matrices of Real Riemann Surfaces and Fundamental Domains
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Period Matrices of Real Riemann Surfaces and Fundamental Domains
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| Creator |
Giavedoni, P.
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| Description |
For some positive integers g and n we consider a subgroup Gg,n of the 2g-dimensional modular group keeping invariant a certain locus Wg,n in the Siegel upper half plane of degree g. We address the problem of describing a fundamental domain for the modular action of the subgroup on Wg,n. Our motivation comes from geometry: g and n represent the genus and the number of ovals of a generic real Riemann surface of separated type; the locus Wg,n contains the corresponding period matrix computed with respect to some specific basis in the homology. In this paper we formulate a general procedure to solve the problem when g is even and n equals one. For g equal to two or four the explicit calculations are worked out in full detail.
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| Date |
2019-02-21T07:09:45Z
2019-02-21T07:09:45Z 2013 |
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| Type |
Article
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| Identifier |
Period Matrices of Real Riemann Surfaces and Fundamental Domains / P. Giavedoni // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 22 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14P05; 57S30; 11F46 DOI: http://dx.doi.org/10.3842/SIGMA.2013.062 http://dspace.nbuv.gov.ua/handle/123456789/149354 |
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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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