Geodesic
Fermat Jacobians of Prime Degree over Finite Fields
Canadian mathematical bulletin, Tome 42 (1999) no. 1, pp. 78-86

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DOI

We study the splitting of Fermat Jacobians of prime degree $\ell $ over an algebraic closure of a finite field of characteristic $p$ not equal to $\ell $ . We prove that their decomposition is determined by the residue degree of $p$ in the cyclotomic field of the $\ell $ -th roots of unity. We provide a numerical criterion that allows to compute the absolutely simple subvarieties and their multiplicity in the Fermat Jacobian.
DOI : 10.4153/CMB-1999-009-7
Mots-clés : 11G20, 14H40 
González, Josep. Fermat Jacobians of Prime Degree over Finite Fields. Canadian mathematical bulletin, Tome 42 (1999) no. 1, pp. 78-86. doi: 10.4153/CMB-1999-009-7
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     title = {Fermat {Jacobians} of {Prime} {Degree} over {Finite} {Fields}},
     journal = {Canadian mathematical bulletin},
     pages = {78--86},
     year = {1999},
     volume = {42},
     number = {1},
     doi = {10.4153/CMB-1999-009-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-009-7/}
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