Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Pure subrings of regular rings are pseudo-rational


Author: Hans Schoutens
Journal: Trans. Amer. Math. Soc. 360 (2008), 609-627
MSC (2000): Primary 14B05, 13H10, 03C20
Published electronically: September 21, 2007
MathSciNet review: 2346464
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove a generalization conjectured by Aschenbrenner and Schoutens (2003) of the Hochster-Roberts-Boutot-Kawamata Theorem: let $ R\to S$ be a pure homomorphism of equicharacteristic zero Noetherian local rings. If $ S$ is regular, then $ R$ is pseudo-rational, and if $ R$ is moreover $ \mathbb{Q}$-Gorenstein, then it is pseudo-log-terminal.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 14B05, 13H10, 03C20

Retrieve articles in all journals with MSC (2000): 14B05, 13H10, 03C20


Additional Information

Hans Schoutens
Affiliation: Department of Mathematics, City University of New York, 365 Fifth Avenue, New York, New York 10016
Email: hschoutens@citytech.cuny.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-07-04134-7
PII: S 0002-9947(07)04134-7
Keywords: Tight closure, non-standard Frobenius, rational singularities, Boutot's Theorem, log-terminal singularities
Received by editor(s): July 22, 2005
Published electronically: September 21, 2007
Additional Notes: The author was partially supported by a grant from the National Science Foundation and a PSC-CUNY grant.
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.



Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia