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- W2134943199 abstract "Algebraic curves in Hilbert modular surfaces that are totally geodesic for the Kobayashi metric have very interesting geometric and arithmetic properties, e.g., they are rigid. There are very few methods known to construct such algebraic geodesics that we call Kobayashi curves. We give an explicit way of constructing Kobayashi curves using determinants of derivatives of theta functions. This construction also allows to calculate the Euler characteristics of the Teich-muller curves constructed by McMullen using Prym covers." @default.
- W2134943199 created "2016-06-24" @default.
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- W2134943199 date "2014-01-01" @default.
- W2134943199 modified "2023-10-17" @default.
- W2134943199 title "Prym covers, theta functions and Kobayashi curves in Hilbert modular surfaces" @default.
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- W2134943199 doi "https://doi.org/10.1353/ajm.2014.0026" @default.
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