88 citations · 344 across the 26 of their papers we have counts for
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math.AG2012
Birational rigidity of singular Fano hypersurfaces
Tommaso de Fernex
We establish birational superrigidity for a large class of singular projective Fano hypersurfaces of index one. In the special case of isolated singularities, our result applies fo…
math.AG2012
Three-dimensional counter-examples to the Nash problem
Tommaso de Fernex
The Nash problem asks about the existence of a correspondence between families of arcs through singularities of complex varieties and certain types of divisorial valuations. It has…
math.AG2012
Rationality in families of threefolds
Tommaso de Fernex, Davide Fusi
We prove that in a family of projective threefolds defined over an algebraically closed field, the locus of rational fibers is a countable union of closed subsets of the locus of s…