Geodesic
On projective modules over polynomial rings
Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 595-602 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove that every projective module of rank greater than $\frac{n+1}2$ over the ring $k[X_1,\dots,X_n]$ is free if $k$ is an infinite field. Bibliography: 5 titles. 
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     author = {A. A. Suslin},
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     language = {en},
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A. A. Suslin. On projective modules over polynomial rings. Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 595-602. http://geodesic.mathdoc.fr/item/SM_1974_22_4_a8/

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[5] I. R. Shafarevich, Osnovy algebraicheskoi geometrii, izd-vo «Nauka», Moskva, 1972 | MR