The valuative tree

• Grant number: 20/05148-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: July 01, 2020
• End date: February 28, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Josnei Antonio Novacoski
• Grantee: Caio Henrique Silva de Souza
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 17/17835-9 - The relation between toric geometry, theory of local blow-ups and ramification theory and their applications in valuation theory, AP.JP

Abstract

Topologies play an important role on Zariski's method for resolution of singularities. This is because, as soon as we have local uniformization for all valuations, we need to create a process to obtain a global resolution. Hence, it is important to understand the different types of structure on spaces of valuations. The main goal of this project is to understand and extend the results of Favre and Jonsson about the valuative tree. (AU)

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)

NOVACOSKI, J. A.; SILVA DE SOUZA, C. H.. On truncations of valuations. Journal of Pure and Applied Algebra, v. 226, n. 6, JUN 2022. (17/17835-9, 20/05148-0)