Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher.
Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?
Some links on this page may take you to non-federal websites. Their policies may differ from this site.
-
Suppose is a -finite and -pure -Gorenstein local ring of prime characteristic . We show that an ideal is uniformly compatible ideal (with all -linear maps) if and only if exists a module finite ring map such that the ideal is the sum of images of all -linear maps . In other words, the set of uniformly compatible ideals is exactly the set of trace ideals of finite ring maps.more » « less
-
Abstract We establish the Minimal Model Program for arithmetic threefolds whose residue characteristics are greater than five. In doing this, we generalize the theory of global $$F$$ F -regularity to mixed characteristic and identify certain stable sections of adjoint line bundles. Finally, by passing to graded rings, we generalize a special case of Fujita’s conjecture to mixed characteristic.more » « less
An official website of the United States government
