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• W2019812905 abstract "It is well-known that Teichmüller discs that pass through “integer points” of the moduli space of abelian differentials are very special: they are closed complex geodesics. However, the structure of these special Teichmüller discs is mostly unexplored: their number, genus, area, cusps, etc. We prove that in genus two all translation surfaces in $$mathcal{H}(2)$$ tiled by a prime number n > 3 of squares fall into exactly two Teichmüller discs, only one of them with elliptic points, and that the genus of these discs has a cubic growth rate in n." @default.
• W2019812905 created "2016-06-24" @default.
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• W2019812905 date "2006-12-01" @default.
• W2019812905 modified "2023-10-13" @default.
• W2019812905 title "Prime arithmetic Teichmüller discs in $$mathcal{H}(2)$$" @default.
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• W2019812905 doi "https://doi.org/10.1007/bf02777365" @default.
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