Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture

The Strong Factorial conjecture was recently formulated by Arno van den Essen and Eric Edo. The problem is motivated by several outstanding problems including the Jacobian, Image, and Vanishing conjectures. In this defense, we discuss how the conjecture can be reformulated in terms of systems of integer polynomials and we present several special cases in which the conjecture holds.

Name thesis:degree_name

Doctor of Philosophy (PhD)

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2015

Author dc:creator

• Rocks, Brady Jacob

Contributors dc:contributor

• David Wright
• Jeff Gill, N. Mohan Kumar, Peter Luthy, John Shareshian

• affine algebraic geometry
• commutative algebra
• factorial conjecture
• polynomial automorphisms
• Mathematics

Statement dc:rights

• I have not registered my thesis with the U.S. Copyright Office, and do not intend to.

Language dc:language

English (en)

Identifier

https://openscholarship.wustl.edu/art_sci_etds/439

OAI identifier oai:identifier

oai:openscholarship.wustl.edu:art_sci_etds-1439