Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The cancellation problem for function fields


Author: James K. Deveney
Journal: Proc. Amer. Math. Soc. 103 (1988), 363-364
MSC: Primary 12F20
MathSciNet review: 943046
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ L$ be a finitely generated extension of $ K$. We call $ L$ rigid over $ K$ if the set of $ K$-endomorphisms of $ L$ is finite. If $ L$ is rigid over $ K$ and $ x$ is transcendental over $ L$, then $ L$ is invariant under automorphisms of $ L\left( x \right)$ over $ K$ (Theorem 2). This result is used to show that the cancellation property holds for function fields of varieties of general type in characteristic 0.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 12F20

Retrieve articles in all journals with MSC: 12F20


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0943046-1
PII: S 0002-9939(1988)0943046-1
Article copyright: © Copyright 1988 American Mathematical Society