Some results on the geometry of Gieseker Moduli Spaces via Stable Coherent Pairs

Seminário de geometria algébrica

Quarta-feira dia 11/02 às 15h, sala 325

Palestrante: Charles Almeida (UFMG)

Título: Some results on the geometry of Gieseker Moduli Spaces via Stable Coherent Pairs

Abstract: In this talk, we explore the relationship between the moduli spaces of stable coherent pairs and the Gieseker moduli spaces of sheaves on projective space. Our main tool is the notion of delta-stability, which allows us to relate these moduli spaces to the Hilbert scheme of curves via the modular Serre correspondence introduced by Jardim and Mu. We introduce the concept of an "oca" for a numerical class and prove how this property serves as a tool for proving the connectedness of certain strata in the Gieseker moduli spaces.