Keywords
- Local Ring
- Regular Ring
- Constant Sheaf
- Galois Cohomology
- Noetherian Scheme
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
M. Artin, A. Grothendieck, and J. L. Verdier, Cohomologie Étale des Schemas, Seminaire de Géometrie Algébrique, 1963–64, Lecture Notes in Mathematics, V. 269, 270, 305, Springer Verlag, Berlin-New York, 1972.
M. Artin, On the joins of Hensel rings, Advances in Mathematics, V. 7(1971), 282–296.
M. Auslander and O. Goldman, The Brauer group of a commutative ring, Transactions Amer. Math. Soc., V. 97 (1960), 367–409.
H. Bass, Algebraic K-Theory, Mathematics Lecture Notes Series, W. A. Benjamin, New York, 1968.
V. G. Berkovich, The Brauer group of abelian varieties, Funktsional'nyi Analiz I Ego Prilozheniya, V. 6, (1972), 10–15, Functional Analysis and its applications (English translation), V. 6 (1973), 180–184.
A. D. Bernard, Commutative rings with operators (Galois theory and ramifications), Proc. London Math Soc. (3) V. 28, (1974), 274–290.
A. Grothendieck, Elements de Géometrie Algébrique, IV, Publication Mathematiques, I.H.E.S., no. 32, Paris, 1968.
S. Eilenberg and N. Steenrod, Foundations of Algebraic Topology, Princeton Univ. Press, Princeton, 1952.
O. Gabber, Some theorems on Azumaya algebras, Le Groupe de Brauer, Lecture Notes in Mathematics, V. 844, Springer Verlag, Berlin-New York, 1981.
G. Garfinkel, A torsion version of the Chase-Rosenberg exact sequence, Duke Math. J., V. 42 (1975), 195–210.
A. Grothendieck, Dix Exposes sur la Cohomologie des Schemas, North Holland, Amsterdam, 1969.
J. Giraud, Cohomologie non abelienne, Grundlehren der Mathematischen Wissenschaften, V. 179, Springer-Verlag, Berlin-New York, 1971.
R. Hoobler, thesis, University of California, 1966.
R. Hoobler, Brauer groups of abelian schemes, Annales Scientifique de d'E.N.S., (4) V. 5 (1972), 45–70.
R. Hoobler, Cohomology of purely inseparable Galois coverings, J. Reine Angew. Math., V. 266 (1974), 183–199.
R. Hooblen, A cohomological interpretation of Brauer groups of rings, Pacific J. Math., V. 86 (1980), 89–92.
R. Hoobler, Br(X)=Br′(X) if X is the separated union of two affines, to appear.
M. A. Knus and M. Ojanguren, Cohomologie étale et groupe de Brauer Le Groupe de Brauer, Lecture Notes in Mathematics, V. 844, Springer Verlag, Berlin-New York, 1981.
J. Milne, Étale Cohomology, Princeton University Press, Princeton, 1980.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Hoobler, R.T. (1982). When is Br(X)=Br′(X)?. In: van Oystaeyen, F.M.J., Verschoren, A.H.M.J. (eds) Brauer Groups in Ring Theory and Algebraic Geometry. Lecture Notes in Mathematics, vol 917. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092238
Download citation
DOI: https://doi.org/10.1007/BFb0092238
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11216-7
Online ISBN: 978-3-540-39057-2
eBook Packages: Springer Book Archive
