Geodesic
Serre's problem on projective modules over polynomial rings, and algebraic $K$-theory
Izvestiya. Mathematics , Tome 10 (1976) no. 5, pp. 937-1001

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We obtain new results on the freeness of projective modules over polynomial rings. In particular we prove the freeness of all projective modules over polynomial rings in five variables with coefficients from an arbitrary field. Bibliography: 46 titles. 
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     author = {L. N. Vaserstein and A. A. Suslin},
     title = {Serre's problem on projective modules over polynomial rings, and algebraic $K$-theory},
     journal = {Izvestiya. Mathematics },
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     publisher = {mathdoc},
     volume = {10},
     number = {5},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1976_10_5_a2/}
}
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L. N. Vaserstein; A. A. Suslin. Serre's problem on projective modules over polynomial rings, and algebraic $K$-theory. Izvestiya. Mathematics , Tome 10 (1976) no. 5, pp. 937-1001. http://geodesic.mathdoc.fr/item/IM2_1976_10_5_a2/