Asymptotically good towers of function fields with small p-rank
نویسندگان
چکیده
Over any quadratic finite field we construct function fields of large genus that have simultaneously many rational places, small p-rank, and automorphisms.
منابع مشابه
Asymptotically good towers and differential equations
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. 2000 Mathematics Subject Classifica...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2021
ISSN: ['1090-2465', '1071-5797']
DOI: https://doi.org/10.1016/j.ffa.2021.101909