20–22 Sept 2023
Argiletum
Europe/Rome timezone

Higher Fano manifolds

21 Sept 2023, 11:30
1h
Argiletum

Argiletum

via della Madonna dei Monti 40, Roma

Speaker

Enrica Mazzon (University of Regensburg)

Description

Fano manifolds are complex projective manifolds having positive first Chern class. The positivity condition on the first Chern class has far-reaching geometric and arithmetic implications. For instance, Fano manifolds are covered by rational curves, and families of Fano manifolds over one-dimensional bases always admit holomorphic sections.

In recent years, there has been a great effort toward defining suitable higher analogues of the Fano condition, which are expected to enjoy stronger versions of several of the nice properties of Fano manifolds. In this talk, I will discuss a possible notion of higher Fano manifolds in terms of the positivity of higher Chern characters and discuss geometric features of these manifolds.

Primary author

Enrica Mazzon (University of Regensburg)

Presentation materials

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