Logarithmic sheaves for complete intersection schemes

• Grant number: 23/05784-1
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: October 01, 2023
• End date: September 29, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Felipe César Freitas Monteiro
• Supervisor: Daniele Faenzi
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Université de Bourgogne, France
• Associated to the scholarship: 21/10550-4 - Logarithmic sheaves for complete intersection schemes, BP.DR

Abstract

The main project is dedicated to investigating certain freeness and stability properties oflogarithmic tangent sheaves on complete intersections in projective spaces, which are defined as the kernel of a Jacobian matrix associated to a complete intersection. The main starting point of this theory is an homonymous paper, which includes the advisor and the internship supervisor as co-authors. For the BEPE part of the project, we plan to study the results developed for hypersurfaces present in a number of works by the internship supervisor, and their possible generalizations in P3. (AU)