Differential essential dimension / Man Cheung Kevin Tsui.

Format:

Book

Thesis/Dissertation

Author/Creator:

Tsui, Man Cheung Kevin, author.

Contributor:

Hartmann, Julia, degree supervisor.

University of Pennsylvania. Department of Mathematics, degree granting institution.

Language:

English

Subjects (All):

Mathematics.

Mathematics--Penn dissertations.

Penn dissertations--Mathematics.

Local Subjects:

Mathematics.

Mathematics--Penn dissertations.

Penn dissertations--Mathematics.

Genre:

Academic theses.

Physical Description:

1 online resource (92 pages)

Contained In:

Dissertations Abstracts International 82-12B.

Place of Publication:

[Philadelphia, Pennsylvania] : University of Pennsylvania ; Ann Arbor : ProQuest Dissertations & Theses, 2021.

Language Note:

English

System Details:

Mode of access: World Wide Web.

text file

Summary:

Roughly speaking, the essential dimension of an algebraic object is the minimum number of parameters needed to specify the object. It was first introduced by J. Buhler and Z. Reichstein where it was used to bound the number of parameters that one may eliminate from a general polynomial by means of Tschirnhaus transformations.In this thesis we define an analogue of essential dimension in differential algebra. As application, we show that the number of parameters in a general homogeneous linear differential equation over a field cannot be reduced via gauge transformations over the given field. We also bound the number of parameters needed to describe certain generic Picard-Vessiot extensions.

Notes:

Source: Dissertations Abstracts International, Volume: 82-12, Section: B.

Advisors: Hartmann, Julia; Committee members: David Harbater; Robin Pemantle.

Department: Mathematics.

Ph.D. University of Pennsylvania 2021.

Local Notes:

School code: 0175

ISBN:

9798738619618

Access Restriction:

Restricted for use by site license.

This item must not be sold to any third party vendors.