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Hyperelliptic translation surfaces and folded tori.
- Source :
-
Topology & Its Applications . Jan2014, Vol. 161, p73-94. 22p. - Publication Year :
- 2014
-
Abstract
- Abstract: Following constructions of McMullen [11] and Vasilyev [15] we list strict quadratic differentials on (marked) tori defined by twists of one-forms on hyperelliptic surfaces. We count the total number of twists in each genus and show that the quadratic differentials on (marked) tori are strict. Taking universal covers we obtain a variety of (non-arithmetic) lattice Panov planes [14] from genus two lattice surfaces. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 161
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 92651221
- Full Text :
- https://doi.org/10.1016/j.topol.2013.09.010