arXiv Analytics

Sign in

arXiv:math/0003229 [math.AG]AbstractReferencesReviewsResources

There are enough Azumaya algebras on surfaces

Stefan Schroeer

Published 2000-03-31, updated 2001-04-04Version 2

Using Maruyama's theory of elementary transformations, I show that the Brauer group surjects onto the cohomological Brauer group for separated geometrically normal algebraic surfaces. As an application, I infer the existence of nonfree vector bundles on proper normal algebraic surfaces.

Comments: 13 pages, major revision, to appear in Math. Ann
Journal: Math. Ann. 321 (2001), 439--454
Categories: math.AG, math.AC
Subjects: 13A20, 14J17, 14J60, 16H05
Related articles: Most relevant | Search more
arXiv:math/0008203 [math.AG] (Published 2000-08-27, updated 2001-07-23)
What is missing in canonical models for proper normal algebraic surfaces?
arXiv:2407.02021 [math.AG] (Published 2024-07-02)
Group schemes over LG-rings and applications to cancellation theorems and Azumaya algebras
arXiv:1307.7946 [math.AG] (Published 2013-07-30, updated 2013-08-30)
Noncommutative motives of Azumaya algebras

Links

Toolbox