Graded rings associated to limit key polynomials

• Grant number: 21/13531-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: June 01, 2022
• End date: May 31, 2027
• 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 scholarship(s): 23/04651-8 - Graded rings associated to valuations and their relations to tame and deeply ramified fields, BE.EP.DR

Abstract

The main goal of this research project is to study the graded rings associated to limit key polynomials and questions about the concept of valuation transcendental. The questions that will be studied stablish a natural continuity for the masters project of the candidate, supported by FAPESP (process number 2020/05148-0). Furthermore, the objects of interest of this project are related to the programs to solve the local uniformization problem (the local form of resolution of singularities for algebraic varieties) in positive characteristic. This is strongly related to the research area of the supervisor of this project. (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, JOSNEI; SILVA DE SOUZA, CAIO HENRIQUE. Parametrizations of subsets of the space of valuations. MATHEMATISCHE ZEITSCHRIFT, v. 307, n. 4, p. 25-pg., 2024-08-01. (21/13531-0, 17/17835-9)