Relating arithmetic-geometric nature properties of a body with characteristics of the body's total Galois group

• Grant number: 06/00157-3
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: July 01, 2006
• End date: June 30, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Antonio Jose Engler
• Grantee: Maurício de Araujo Ferreira
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

Our purpose is to carry on research properties of a field which can be detected from its absolute Galois group. Such properties have to be hereditary in the sense that they will be present in all algebraic extensions of the field under consideration. We are particularly interested in properties which can be set up by means of families of valuations rings.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FERREIRA, MAURICIO A.; WADSWORTH, ADRIAN R.. VALUE FUNCTIONS AND DUBROVIN VALUATION RINGS ON SIMPLE ALGEBRAS. Transactions of the American Mathematical Society, v. 368, n. 3, p. 1681-1734, MAR 2016. (06/00157-3)

FERREIRA, MAURICIO A.; WADSWORTH, ADRIAN R.. VALUE FUNCTIONS AND DUBROVIN VALUATION RINGS ON SIMPLE ALGEBRAS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 368, n. 3, p. 54-pg., 2016-03-01. (06/00157-3)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

FERREIRA, Maurício de Araujo. Value functions and Dubrovin valuation rings on simple algebras. 2011. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.