9 citations · 11 across the 7 of their papers we have counts for
6 papers · 1 filter
Length, multiplicity, and multiplier ideals
Tommaso de Fernex
Let (R,m) be an n-dimensional regular local ring, essentially of finite type over a field of characteristic zero. In this paper we study the relationship between the singularities…
Bad loci of free linear systems
Tommaso de Fernex, Antonio Lanteri
The bad locus of a base-point free linear system L on a normal complex projective variety X is defined as the subset B(L) of X of points that are not contained in any irreducible a…
Stringy Chern classes of singular varieties
Tommaso de Fernex, Ernesto Lupercio, Thomas Nevins +1
Motivic integration and MacPherson's transformation are combined in this paper to construct a theory of "stringy" Chern classes for singular varieties. These classes enjoy strong b…
On planar Cremona maps of prime order
Tommaso de Fernex
This paper contains a new proof of the classification of elements of prime order in the Cremona group Bir(P^2), up to conjugation. In addition, we give explicit geometric construct…
Bounds for log canonical thresholds with applications to birational rigidity
Tommaso de Fernex, Lawrence Ein, Mircea Mustata
We use intersection theory, degeneration techniques and jet schemes to study log canonical thresholds. Our first result gives a lower bound for the log canonical threshold of a pai…
Multiplicities and log canonical threshold
Tommaso de Fernex, Lawrence Ein, Mircea Mustata
If R is a local ring of dimension n, of a smooth complex variety, and if I is a zero dimensional ideal in R, then we prove that e(I)\geq n^n/lc(I)^n. Here e(I) is the Samuel multip…