Geodesic
Factorial Fermat curves over the rational numbers
Peter Malcolmson 1   ; Frank Okoh 1   ; Vasuvedan Srinivas 2
1 Department of Mathematics Wayne State University Detroit, MI 48202, U.S.A.
2 School of Mathematics Tata Institute of Fundamental Research Mumbai 400005, India
Colloquium Mathematicum, Tome 142 (2016) no. 2, pp. 285-300 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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A polynomial $f$ in the set $\{X^{n}+Y^{n}, X^{n} +Y^{n}-Z^{n}, X^{n} +Y^{n}+Z^{n}, X^{n} +Y^{n}-1\}$ lends itself to an elementary proof of the following theorem: if the coordinate ring over $\mathbb {Q}$ of $f$ is factorial, then $n$ is one or two. We give a list of problems suggested by this result.
DOI : 10.4064/cm142-2-9
Keywords: polynomial set z lends itself elementary proof following theorem coordinate ring mathbb factorial list problems suggested result

Peter Malcolmson  1   ; Frank Okoh  1   ; Vasuvedan Srinivas  2

1 Department of Mathematics Wayne State University Detroit, MI 48202, U.S.A.
2 School of Mathematics Tata Institute of Fundamental Research Mumbai 400005, India 
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Peter Malcolmson; Frank Okoh; Vasuvedan Srinivas. Factorial Fermat curves over the rational numbers. Colloquium Mathematicum, Tome 142 (2016) no. 2, pp. 285-300. doi: 10.4064/cm142-2-9

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