On the Stratification of Moduli Spaces of Logarithmic Sheaves

• Grant number: 25/04532-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: November 17, 2025
• End date: December 18, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Marcos Benevenuto Jardim
• Visiting researcher: Simone Marchesi
• Visiting researcher institution: Universitat de Barcelona (UB), Spain
• 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 main goal of this project is the introduction of a parameterizing space for logarithmic sheaves, which we will describe by stratifications, through which we will enhance the linkage between deformation of divisors and deformations of sheaves as well as unify the variegated points of view under which currently logarithmic sheaves are studied (e.g., moduli spaces, matroids, Hilbert schemes,etc.). (AU)