Stability of sheaves on projective varieties

• Grant number: 23/06502-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Effective date (Start): August 01, 2023
• Effective date (End): March 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Achim Merveil Napame
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/21391-1 - Gauge theory and algebraic geometry, AP.TEM

Abstract

In the paper ´Stability of equivariant logarithmic tangent sheaf on toric varieties of Picard rank two´, we studied slope stability of equivariant logaritmic tangent sheaves on smooth toric varieties. One part of this project is to study stability of logarithmic tangent sheaves when they are not equivariant. We will mainly consider the case where the variety is a complex projective space.The other part of the project would be too study stability of sheaves in family with respect to one polarization and to understand their moduli spaces.