1 citations · 2 across the 5 of their papers we have counts for
11 papers
Families of jets of arc type and higher (co)dimensional Du Val singularities
Tommaso de Fernex, Shih-Hsin Wang
Families of jets through singularities of algebraic varieties are here studied in relation to the families of arcs originally studied by Nash. After proving a general result relati…
On arc fibers of morphisms of schemes
Christopher Chiu, Tommaso de Fernex, Roi Docampo
Given a morphism of schemes over a field, we prove several finiteness results about the fibers of the induced map on arc spaces $f_\infty \colon X_\infty \to Y_\…
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…
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…
Embedding codimension of the space of arcs
Christopher Chiu, Tommaso de Fernex, Roi Docampo
We introduce a notion of embedding codimension of an arbitrary local ring, establish some general properties, and study in detail the case of arc spaces of schemes of finite type o…
Grothendieck--Lefschetz for ample subvarieties
Tommaso de Fernex, Chung Ching Lau
We establish a Grothendieck--Lefschetz theorem for smooth ample subvarieties of smooth projective varieties over an algebraically closed field of characteristic zero and, more gene…