Generalized instanton bundles on smooth projective varieties
Sheaves on projective varieties and representations of quivers
Moduli spaces of sheaves on Hirzebruch surfaces, Poisson geometry, and integrable ...
Grant number: | 14/12558-9 |
Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
Principal Investigator: | Marcos Benevenuto Jardim |
Grantee: | Marcos Benevenuto Jardim |
Visiting researcher: | Pedro Correia Goncalves Macias Marques |
Visiting researcher institution: | Universidade de Évora, Portugal |
Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Abstract
The research project has three main tasks: 1. to study monads on projective varieties, addressing their existence, whether they are stable sheaves, and if so study their moduli spaces; 2. to study the stability of sencond-order syzygies in the projective space; 3. to work on the conjecture of Bernardi and Ranestad on the cactus rank of a general cubic form. (AU)
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