Factorial Fermat curves over the rational numbers

• Autorzy: Peter Malcolmson , Frank Okoh , Vasuvedan Srinivas
• Języki publikacji: EN

Abstrakty

EN

A polynomial f in the set {Xⁿ+Yⁿ, Xⁿ +Yⁿ-Zⁿ, Xⁿ +Yⁿ+Zⁿ, Xⁿ +Yⁿ-1} lends itself to an elementary proof of the following theorem: if the coordinate ring over ℚ of f is factorial, then n is one or two. We give a list of problems suggested by this result.

Kategorie tematyczne

• 13F15: Rings defined by factorization properties (e.g., atomic, factorial, half-factorial)
• 14H05: Algebraic functions; function fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 142
• Numer: 2
• Strony: 285-300

Daty

wydano

2016

Twórcy

autor

Peter Malcolmson

• Department of Mathematics, Wayne State University, Detroit, MI 48202, U.S.A.

autor

Frank Okoh

• Department of Mathematics, Wayne State University, Detroit, MI 48202, U.S.A.

autor

Vasuvedan Srinivas

• School of Mathematics, Tata Institute of Fundamental Research, Mumbai 400005, India

Identyfikatory

DOI

10.4064/cm142-2-9