Geodesic
Triviality of certain cohomology groups
Zapiski Nauchnykh Seminarov POMI, Rings and modules. Part 2, Tome 94 (1979), pp. 114-115

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Suppose $X=\operatorname{Spec}A$ is an affine scheme. It is known that if $\mathscr F$ is a quasicoherent $O_x$-module, then for $i>0$.We give a simple direct proof of this fact. 
@article{ZNSL_1979_94_a11,
     author = {A. A. Suslin},
     title = {Triviality of certain cohomology groups},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {114--115},
     publisher = {mathdoc},
     volume = {94},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_94_a11/}
}
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A. A. Suslin. Triviality of certain cohomology groups. Zapiski Nauchnykh Seminarov POMI, Rings and modules. Part 2, Tome 94 (1979), pp. 114-115. http://geodesic.mathdoc.fr/item/ZNSL_1979_94_a11/