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math.AG2021
Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points
Tommaso de Fernex
Extending previous results, we prove that for all hypersurfaces of degree in with isolated ordinary double points are birational superrigid and…
math.AG2021
Motivic integration on Berkovich spaces
Tommaso de Fernex, Chung Ching Lau
We define a motivic measure on the Berkovich analytification of an algebraic variety defined over a trivially valued field, and introduce motivic integration in this setting. The c…