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Explicit construction of a plane sextic model for genus-five Howe curves. I

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Publication:6671804
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DOI10.1016/J.JACA.2024.100018MaRDI QIDQ6671804

Momonari Kudo, Tomoki Moriya

Publication date: 27 January 2025

Published in: Journal of Computational Algebra (Search for Journal in Brave)





Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Curves in algebraic geometry (14Hxx)


Cites Work

  • Title not available (Why is that?)
  • Title not available (Why is that?)
  • The existence of supersingular curves of genus 4 in arbitrary characteristic
  • Curves of medium genus with many points
  • Hyperelliptic curves with prescribed \(p\)-torsion
  • Quickly constructing curves of genus 4 with many points
  • Algorithms to enumerate superspecial Howe curves of genus 4
  • Superspecial Trigonal Curves of Genus 5
  • Fast enumeration of superspecial hyperelliptic curves of genus 4 with automorphism group \(V_4\)
  • Representation of non-special curves of genus 5 as plane sextic curves and its application to finding curves with many rational points







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