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2012 ON ISOLATED STRATA OF P-GONAL RIEMANN SURFACES IN THE BRANCH LOCUS OF MODULI SPACES
Gabriel Bartolini, Antonio F. Costa, Milagros Izquierdo
Author Affiliations +
Albanian J. Math. 6(1): 11-19 (2012). DOI: 10.51286/albjm/1346250164

Abstract

The moduli space Mg of compact Riemann surfaces of genus g has orbifold structure, and the set of singular points of such orbifold is the branch locus Bg. Given a prime number p7, Bg contains isolated strata consisting of p-gonal Riemann surfaces for genera g3(p1)2, that are multiple of p12. This is a generalization of the results obtained in [BCI1] for pentagonal Riemann surfaces, and the results of [K] and [CI3] for zero- and one-dimensional isolated strata in the branch locus.

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Gabriel Bartolini. Antonio F. Costa. Milagros Izquierdo. "ON ISOLATED STRATA OF P-GONAL RIEMANN SURFACES IN THE BRANCH LOCUS OF MODULI SPACES." Albanian J. Math. 6 (1) 11 - 19, 2012. https://doi.org/10.51286/albjm/1346250164

Information

Published: 2012
First available in Project Euclid: 13 July 2023

Digital Object Identifier: 10.51286/albjm/1346250164

Subjects:
Primary: 14H99 , 20F10 , 30F10

Keywords: connectedness , Dual Tiling , greedy expansion , Rauzy Fractal

Rights: Copyright © 2012 Research Institute of Science and Technology (RISAT)

Vol.6 • No. 1 • 2012
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