On the symmetric determinantal representations of the Fermat curves of prime degree

DOI10.1142/S1793042116500597zbMath1415.11062arXiv1412.8345MaRDI QIDQ2805964

Yasuhiro Ishitsuka, Tetsushi Ito

Publication date: 13 May 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8345

zbMATH Keywords

plane curvedeterminantal representationFermat curvestheta characteristic

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Higher degree equations; Fermat's equation (11D41)

Related Items (7)

A positive proportion of cubic curves over Q admit linear determinantal representations ⋮ The local-global principle for symmetric determinantal representations of smooth plane curves ⋮ Unnamed Item ⋮ Uniform Determinantal Representations ⋮ The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two ⋮ On algorithms to obtain linear determinantal representations of smooth plane curves of higher degree ⋮ An algorithm to obtain linear determinantal representations of smooth plane cubics over finite fields

Cites Work

• The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two
• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• Arithmetic invariant theory II: Pure inner forms and obstructions to the existence of orbits
• Classical Algebraic Geometry
• Néron Models
• Variétés de Prym et jacobiennes intermédiaires
• Theta-characteristics on singular curves
• Theta characteristics of an algebraic curve
• Unnamed Item
• Unnamed Item
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