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Asymptotically good towers and differential equations
Published online by Cambridge University Press: 04 December 2007
Abstract
This paper concerns towers of curves over a finite field with many rational points, following Garcia–Stichtenoth and Elkies. We present a new method to produce such towers. A key ingredient is the study of algebraic solutions to Fuchsian differential equations modulo p. We apply our results to towers of modular curves, and find new asymptotically good towers.
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- Research Article
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- Foundation Compositio Mathematica 2005
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