O cone nef
Oscar Felgueiras
Departamento de Matemática Pura
Universidade do Porto

Resumo

The well known work of Kleiman shows that several properties of invertible sheaves on schemes, such as ampleness or nefness, are nicely described by their numerical data using the language of cones. In this talk we will focus on analyzing different cones of divisors relative to projective morphisms, with particular interest on those arising from sequences of blowups. We give results characterizing the geometry of those cones. We also present a construction of a non-polyhedral nef cone for a specific sequence of blowups with smooth centers of a 4-fold.

Encontro Matemático SPM/CIM em Geometria Algébrica