Comptes Rendus
no. 7
Algebraic Geometry
The elliptic K3 surfaces with a maximal singular fibre
[Des surfaces K3 elliptiques possédant une fibre singulière maximale]

Présenté par : Michel Raynaud

Tetsuji Shioda1
1 Department of Mathematics, Rikkyo University, 3-34-1 Nishi-Ikebukuro, Toshima-ku, Tokyo 171-8501, Japan
Comptes Rendus. Mathématique, Volume 337 (2003) no. 7, pp. 461-466.

Nous donnons l'équation des surfaces K3 elliptiques possédant une fibre singulière maximale. Puis nous étudions leur réduction modulo p, où p est un nombre premier particulièrement intéressant.

We give the defining equation of complex elliptic K3 surfaces with a maximal singular fibre. Then we study the reduction modulo p at a particularly interesting prime p.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2003.07.007
Tetsuji Shioda 1

1 Department of Mathematics, Rikkyo University, 3-34-1 Nishi-Ikebukuro, Toshima-ku, Tokyo 171-8501, Japan 
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Tetsuji Shioda. The elliptic K3 surfaces with a maximal singular fibre. Comptes Rendus. Mathématique, Volume 337 (2003) no. 7, pp. 461-466. doi : 10.1016/j.crma.2003.07.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.07.007/

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