Semigroups, toric actions and monomial surfaces

• Grant number: 21/09524-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2021
• End date: September 30, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Marcelo Jose Saia
• Grantee: Giulia de Siqueira Reis
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 19/21181-0 - New frontiers in Singularity Theory, AP.TEM

Abstract

One of the main goals of this project is to present the basic concepts of the theory of Toric Varieties, studying the necessary elements to understand the construction of such varieties, using convex geometry, aiming to understand the combinatory present in these objects. As an application of this theory, we intend to study monomial parameterized surfaces in C^4. (AU)