{"id":{"repo_id":"wustl","oai_identifier":"oai:openscholarship.wustl.edu:art_sci_etds-1439"},"canonical_url":"https://search.dev.ndltd.org/etd/wustl/oai:openscholarship.wustl.edu:art_sci_etds-1439","repository":{"repo_id":"wustl","name":"Washington University in St. Louis","base_url":"https://openscholarship.wustl.edu/do/oai/"},"display":{"title":"Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Rocks, Brady Jacob"],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["David Wright","Jeff Gill, N. 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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."]},{"key":"dc:title","label":"Title","values":["Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture"]}]}],"canonical_facts":{"dc:contributor":["David Wright","Jeff Gill, N. Mohan Kumar, Peter Luthy, John Shareshian"],"dc:creator":["Rocks, Brady Jacob"],"dc:date.available":["2015-06-19T07:00:00Z"],"dc:description":["Permanent URL: https://doi.org/10.7936/K7BR8QB4"],"dc:description.abstract":["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."],"dc:identifier":["https://doi.org/10.7936/K7BR8QB4","https://openscholarship.wustl.edu/art_sci_etds/439"],"dc:language":["English (en)"],"dc:rights":["I have not registered my thesis with the U.S. Copyright Office, and do not intend to."],"dc:subject":["affine algebraic geometry","commutative algebra","factorial conjecture","polynomial automorphisms","Mathematics"],"dc:title":["Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture"],"thesis:degree_discipline":["Mathematics","Graduate School of Arts and Sciences"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T06:12:08Z"}