The existence of supersingular curves of genus 4 in arbitrary characteristic

DOI10.1007/s40993-020-00217-xzbMath1461.14038arXiv1903.08095OpenAlexW3097492361MaRDI QIDQ2221685

Shushi Harashita, Momonari Kudo, Hayato Senda

Publication date: 2 February 2021

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08095

zbMATH Keywords

supersingular curves, genus 4, supersingular elliptic curves, Howe curves

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20)

Related Items (3)

On the maximality of hyperelliptic Howe curves of genus 3 ⋮ Fast enumeration of superspecial hyperelliptic curves of genus 4 with automorphism group \(V_4\) ⋮ Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3

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