88 citations · 344 across the 26 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.AG2017★ 4 cited
Nash blow-ups of jet schemes
Tommaso de Fernex, Roi Docampo
Given an arbitrary projective birational morphism of varieties, we provide a natural and explicit way of constructing relative compactifications of the maps induced on the main com…
math.AG2017
Jet closures and the local isomorphism problem
Tommaso de Fernex, Lawrence Ein, Shihoko Ishii
If a morphism of germs of schemes induces isomorphisms of all local jet schemes, does it follow that the morphism is an isomorphism? This problem is called the local isomorphism pr…
math.AG2017★ 11 cited
Differentials on the arc space
Tommaso de Fernex, Roi Docampo
The paper provides a description of the sheaves of Kähler differentials of the arc space and jet schemes of an arbitrary scheme where these sheaves are computed directly from the s…