| Grant number: | 21/10550-4 |
| Support type: | Scholarships in Brazil - Doctorate |
| Effective date (Start): | March 01, 2022 |
| Effective date (End): | February 28, 2026 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal researcher: | Marcos Benevenuto Jardim |
| Grantee: | Felipe César Freitas Monteiro |
| Home 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 This project seeks to establish the study of logarithmic sheaves T_à over complete intersection schemes V(Ã), which are algebraic varieties given as the zero-set of a regular sequence à = {f_1, . . . , f_k} of homogeneous polynomials in the projective space of dimension n. These sheaves are defined as the kernel of the Jacobian morphism J_à = (f_1, . . . , f_k), generalizing the classical construction for k = 1, whereD = V (Ã) is a divisor and T_à is the vector bundle of logarithmic derivations over D (see [4]). Following the program of classification and characterization of particular cases, initiated in [5], this project is specially interested in stability aspects of associated moduli spaces and the relation between local freeness of T_à and geometrical properties of the variety V (Ã). | |
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