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Introduction to complex analytical geometry

Grant number: 17/19553-0
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): October 01, 2017
Effective date (End): May 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Maria Aparecida Soares Ruas
Grantee:Felipe Espreafico Guelerman Ramos
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM
Associated scholarship(s):18/14008-7 - Tjurina transform and determinantal singularities, BE.EP.IC

Abstract

Subsets of complex spaces, affine or projective spaces defined by polynomial equations are studied in Algebraic Geometry. Examples are quadrics, cubics, etc. In Analytic Geometric the first objects of investigations are subsets of these spaces defined by analytic equations. As every polynomial is an analytic function, this set of objects contains the first one. Furthermore, the study of analytic sets allows a deeper investigation of singularities. (AU)

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