Complete intersection curves in biprojective spaces

• Ano de defesa: 2023
• Autor(a) principal: Maxwell da Paixão de Jesus Santos
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Minas Gerais; Brasil; ICX - DEPARTAMENTO DE MATEMÁTICA; Programa de Pós-Graduação em Matemática; UFMG
• Palavras-chave em Português: Complete intersection curves; Linear systems; Gonality; Matemática – Teses; Curvas – Teses; Sistemas lineares – Teses
• Link de acesso: http://hdl.handle.net/1843/60235

In this Thesis are classified all complete intersection curves in biprojective spaces whose canonical sheaf is a hyperplane section. Then it is studied the geometry of these curves with respect to their gonality and existence of linear system. A lower bound for the gonality of suitable complete intersection curves in biprojective spaces is provided, given biproduct version of Lazarsfeld’s lower bound for gonality of complete intersection curves in projective spaces. It also provides some results concerning on Mukai stratification of the moduli of curves of small genus.