Geodesic
On a smooth quintic 4-fold
Sbornik. Mathematics, Tome 191 (2000) no. 9, pp. 1399-1419 Cet article a éte moissonné depuis la source Math-Net.Ru

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The birational geometry of an arbitrary smooth quintic 4-fold is studied using the properties of log pairs. As a result, a new proof of its birational rigidity is given and all birational maps of a smooth quintic 4-fold into fibrations with general fibre of Kodaira dimension zero are described. In the Addendum similar results are obtained for all smooth hypersurfaces of degree $n$ in $\mathbb P^n$ in the case of $n$ equal to 6, 7, or 8. 
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I. A. Cheltsov. On a smooth quintic 4-fold. Sbornik. Mathematics, Tome 191 (2000) no. 9, pp. 1399-1419. http://geodesic.mathdoc.fr/item/SM_2000_191_9_a7/

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