no. 1-2
2-cocycles and Azumaya algebras under birational transformations of algebraic schemes
Compositio Mathematica, Tome 76 (1990) no. 1-2, pp. 1-5. 
@article{CM_1990__76_1-2_1_0,
     author = {Bogomolov, F. A. and Landia, A. N.},
     title = {2-cocycles and {Azumaya} algebras under birational transformations of algebraic schemes},
     journal = {Compositio Mathematica},
     pages = {1--5},
     publisher = {Kluwer Academic Publishers},
     volume = {76},
     number = {1-2},
     year = {1990},
     zbl = {0729.14014},
     mrnumber = {1078854},
     language = {en},
     url = {http://www.numdam.org/item/CM_1990__76_1-2_1_0/}
}
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Bogomolov, F. A.; Landia, A. N. 2-cocycles and Azumaya algebras under birational transformations of algebraic schemes. Compositio Mathematica, Tome 76 (1990) no. 1-2, pp. 1-5. http://www.numdam.org/item/CM_1990__76_1-2_1_0/

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[4] Hartshorne, R., Algebraic Geometry. Graduate Texts in Math. 52, Springer Verlag, Berlin etc. 1977. | MR 463157 | Zbl 0367.14001