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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


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.

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