Positivity of line bundles on varieties defined over non-Archimedean fields
Positivity of line bundles on varieties defined over non-Archimedean fields
For algebraic varieties defined over the complex numbers, one can study geometry using both algebraic and analytic methods. Over a non-Archimedean field, one can try to do the same thing using Berkovich spaces. I will discuss positivity notions for metrics on line bundles on varieties defined over discretely or trivially valued fields.