GIT Stability of Linear Systems of Hypersurfaces.

• Grant number: 24/22950-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: May 01, 2025
• End date: December 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Milena Ferraz Silva Brockhof
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 21/04065-6 - BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability, AP.TEM

Abstract

The primary objective of this research is to investigate the stability of linear systems of hypersurfaces, with a particular focus on pencils of curves, by means of Geometric Invariant Theory. Furthermore, we aim to describe certain classification problems within this framework through the language of moduli spaces and to explore potential applications of these results to other stability problems. (AU)