Geodesic
Non-rationality of the~ 4-dimensional smooth complete intersection of
Sbornik. Mathematics, Tome 194 (2003) no. 11, pp. 1679-1699

Voir la notice de l'article provenant de la source Math-Net.Ru

The non-rationality and the birational superrigidity is proved for the 4-dimensional smooth complete intersection of a quadric and a quartic in ${\mathbb P}^6$ that contains no 2-dimensional linear subspace of ${\mathbb P}^6$. It is also proved that such an intersection is not birationally isomorphic to an elliptic fibration. 
@article{SM_2003_194_11_a4,
     author = {I. A. Cheltsov},
     title = {Non-rationality of the~ 4-dimensional smooth complete intersection of},
     journal = {Sbornik. Mathematics},
     pages = {1679--1699},
     publisher = {mathdoc},
     volume = {194},
     number = {11},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2003_194_11_a4/}
}
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I. A. Cheltsov. Non-rationality of the~ 4-dimensional smooth complete intersection of. Sbornik. Mathematics, Tome 194 (2003) no. 11, pp. 1679-1699. http://geodesic.mathdoc.fr/item/SM_2003_194_11_a4/