Geodesic
On projective modules over polynomial rings
Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 595-602

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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},
     title = {On projective modules over polynomial rings},
     journal = {Sbornik. Mathematics},
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     number = {4},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1974_22_4_a8/}
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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/