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Abstract In this paper, we explicitly determine the automorphism group of every nonhyperelliptic superspecial curve of genus 4 over F 11 . Our algorithm determining automorphism groups works for any… Click to show full abstract
Abstract In this paper, we explicitly determine the automorphism group of every nonhyperelliptic superspecial curve of genus 4 over F 11 . Our algorithm determining automorphism groups works for any nonhyperelliptic curve of genus 4 over finite fields. With this computation, we show the compatibility between the enumeration of superspecial curves of genus 4 over F 11 obtained computationally by the first and second authors in 2017 and an enumeration by Galois cohomology theory.
Keywords:
curves genus;
superspecial curves;
genus overf11;
automorphism groups;
groups superspecial;
automorphism
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2020
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!