Period Matrices of Real Riemann Surfaces and Fundamental Domains

@article{Giavedoni2013PeriodMO,
  title={Period Matrices of Real Riemann Surfaces and Fundamental Domains},
  author={Pietro Giavedoni},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2013},
  volume={9},
  pages={062}
}
  • Pietro Giavedoni
  • Published 16 February 2012
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
For some positive integers g and n we consider a subgroup Gg;n of the 2g- dimensional modular group keeping invariant a certain locusWg;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 onWg;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… 

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