Geodesic
Birational properties of a~surface of degree~4 in~$\mathbf P^4_k$
Sbornik. Mathematics, Tome 17 (1972) no. 1, pp. 30-36

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It is proved that a smooth surface of fourth degree in $\mathbf P^4_k$, defined over a perfect field $k$, is not birationally isomorphic, over $k$, to the projective plane $\mathbf P^2_k$ if it is $k$-minimal. Bibliography: 5 titles. 
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     author = {V. A. Iskovskikh},
     title = {Birational properties of a~surface of degree~4 in~$\mathbf P^4_k$},
     journal = {Sbornik. Mathematics},
     pages = {30--36},
     publisher = {mathdoc},
     volume = {17},
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     year = {1972},
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     url = {http://geodesic.mathdoc.fr/item/SM_1972_17_1_a1/}
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V. A. Iskovskikh. Birational properties of a~surface of degree~4 in~$\mathbf P^4_k$. Sbornik. Mathematics, Tome 17 (1972) no. 1, pp. 30-36. http://geodesic.mathdoc.fr/item/SM_1972_17_1_a1/