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- W2070178103 abstract "Abstract We study translation surfaces with rich groups of affine diffeomorphisms—“prelattice” surfaces. These include the lattice translation surfaces studied by W. Veech. We show that there exist prelattice but nonlattice translation surfaces. We characterize arithmetic surfaces among prelattice surfaces by the infinite cardinality of their set of points periodic under affine diffeomorphisms. We give examples of translation surfaces whose periodic points and Weierstrass points coincide." @default.
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- W2070178103 date "2003-11-01" @default.
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- W2070178103 title "Affine diffeomorphisms of translation surfaces: Periodic points, Fuchsian groups, and arithmeticity" @default.
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- W2070178103 doi "https://doi.org/10.1016/j.ansens.2003.05.001" @default.
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