Irrational behavior of algebraic discrete valuations

[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI-COLUMBIA AT AUTHOR'S REQUEST.] We construct a family of algebraic discrete rank 1 valuations whose associated Hilbert function cannot be written as the sum of a quasi-polynomial and a bounded function. We further show that the set of multiplicities associated to these algebraic discrete rank 1 valuations contains the interval [0, 1/8 ). In particular, the associated multiplicites can be irrational.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

Doctoral

Discipline thesis:degree_discipline

Mathematics (MU)

Grantor dc:publisher

University of Missouri--Columbia

Year dc:date.issued

2014

Author dc:creator

• Sanyal, Soumya Deepta

Advisor dc:contributor.advisor

• Cutkosky, Steven Dale

• Author supplied: valuation; irrational; multiplicity; Hilbert Function

Statement dc:rights

• Access to files is limited to the University of Missouri--Columbia with SSO login.

Language dc:language.iso

eng, English

DOI

https://doi.org/10.32469/10355/44166

OAI identifier oai:identifier

oai:mospace.umsystem.edu:10355/44166