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Semigroups, toric actions and monomial surfaces

Grant number: 21/09524-9
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): November 01, 2021
Effective date (End): October 31, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal researcher:Marcelo Jose Saia
Grantee:Giulia de Siqueira Reis
Home 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)

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