Constructions of plane curves with many points

DOI10.4064/aa99-1-8zbMath1042.11039OpenAlexW1990045151MaRDI QIDQ2717769

Don Zagier, José Felipe Voloch, Fernando Rodriguez Villegas

Publication date: 17 June 2001

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3320bb8a6ab4134b2b397d6f8c40e70ed6169332

zbMATH Keywords

heightfinite fieldscyclotomic fieldsirreducible polynomialsmany integral solutionsmany rational zerosplane curves with many points

Mathematics Subject Classification ID

Rational points (14G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Heights (11G50)

Related Items (6)

Unbounded negativity on rational surfaces in positive characteristic ⋮ Higher order selfdual toric varieties ⋮ Plane curves with many points over finite fields ⋮ On \((k,n)\)-arcs ⋮ On complete \((N,d)\)-arcs derived from plane curves ⋮ On self-maps of complex flag manifolds

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