2-cocycles and Azumaya algebras under birational transformations of algebraic schemes

F. A. Bogomolov; A. N. Landia

Compositio Mathematica (1990)

  • Volume: 76, Issue: 1-2, page 1-5
  • ISSN: 0010-437X

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Bogomolov, F. A., and Landia, A. N.. "2-cocycles and Azumaya algebras under birational transformations of algebraic schemes." Compositio Mathematica 76.1-2 (1990): 1-5. <http://eudml.org/doc/90046>.

@article{Bogomolov1990,
author = {Bogomolov, F. A., Landia, A. N.},
journal = {Compositio Mathematica},
keywords = {cohomology class as Azumaya algebra; second cohomology; Brauer group},
language = {eng},
number = {1-2},
pages = {1-5},
publisher = {Kluwer Academic Publishers},
title = {2-cocycles and Azumaya algebras under birational transformations of algebraic schemes},
url = {http://eudml.org/doc/90046},
volume = {76},
year = {1990},
}

TY - JOUR
AU - Bogomolov, F. A.
AU - Landia, A. N.
TI - 2-cocycles and Azumaya algebras under birational transformations of algebraic schemes
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 76
IS - 1-2
SP - 1
EP - 5
LA - eng
KW - cohomology class as Azumaya algebra; second cohomology; Brauer group
UR - http://eudml.org/doc/90046
ER -

References

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  1. [1] Bogomolov, F.A., Brauer group of quotients by linear representations. Izv. Akad. Nauk. USSR, Ser. Mat.51 (1987) 485-516. Zbl0641.14005
  2. [2] Landia, A.N., Brauer group of projective models of quotients by finite groups. Dep. in GRUZNIITI 25.12.1987, no. 373-r87. 
  3. [3] Moishezon, B.G., An algebraic analog of compact complex spaces with sufficiently large field of meromorphic functions I. Izv. Akad. Nauk. USSR, Ser. Mat.33 (1969) 174-238. Zbl0197.17502
  4. [4] Hartshorne, R., Algebraic Geometry. Graduate Texts in Math. 52, Springer Verlag, Berlin etc. 1977. Zbl0367.14001MR463157

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