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math.AG2013
Fano hypersurfaces and their birational geometry
Tommaso de Fernex
We survey some results on the nonrationality and birational rigidity of certain hypersurfaces of Fano type. The focus is on hypersurfaces of Fano index one, but hypersurfaces of hi…
math.AG2013
Valuation spaces and multiplier ideals on singular varieties
Sébastien Boucksom, Tommaso de Fernex, Charles Favre +1
We generalize to all normal complex algebraic varieties the valuative characterization of multiplier ideals due to Boucksom-Favre-Jonsson in the smooth case. To that end, we extend…