Generically Trivial Azumaya Algebras on a Rational Surface with a Non Rational Singularity

Autor:	Djordje N. Bulj, Drake M. Harmon, Timothy J. Ford
Rok vydání:	2013
Předmět:	Algebra Pure mathematics Algebra and Number Theory Rational surface Mathematics::K-Theory and Homology Rational point Algebraic surface Local ring Torsion (algebra) Rational singularity Rational function Brauer group Mathematics
Zdroj:	Communications in Algebra. 41:4333-4338
ISSN:	1532-4125 0092-7872
DOI:	10.1080/00927872.2012.695837
Popis:	Elementary examples are presented of normal algebraic surfaces X with singular points x such that at the local ring 𝒪 X, x there exist Azumaya algebras of all orders in the Brauer group that are split by the field of rational functions on X. These algebra classes correspond to elements of torsion in the class group of the henselian local ring . The surfaces X are affine normal rational and the singularities x are nonrational.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cc1c59c9827144b4f1e1a65e72ca7f44 https://doi.org/10.1080/00927872.2012.695837 Zobrazit plný text záznamu