7 citations · 30 across the 17 of their papers we have counts for
20 papers
On plane Cremona maps of degree 4 and length 2
Alberto Calabri, Nguyen Thi Ngoc Giao
Plane Cremona maps of degree four are divided into two different classes according to their homaloidal type: either they are de Jonquières, that is, they have a base point of multi…
On the quadratic length of plane Cremona maps of degree 4
Alberto Calabri, Nguyen Thi Ngoc Giao
Every non-linear plane Cremona map can be decomposed into quadratic maps, and the minimum number of quadratic maps required is called its quadratic length. It is known that plane C…
Algebraic growth of the Cremona group
Alberto Calabri, Serge Cantat, Alex Massarenti +2
We initiate the study of the ''algebraic growth'' of groups of automorphisms and birational transformations of algebraic varieties. Our main result concerns $\text{Bir}(\mathbb{P}^…
On the classification of cubic plane Cremona maps
Alberto Calabri, Thi Ngoc Giao Nguyen
We give a fine classification of cubic plane Cremona maps. A previous partial classification was obtained by Cerveau and Déserti a few years ago.
Contractible curves on a rational surface
Alberto Calabri, Ciro Ciliberto
In this paper we prove that if S is a smooth, irreducible, projective, rational, complex surface and D an effective, connected, reduced divisor on S, then the pair (S,D) is contrac…
On Cremona contractibility of unions of lines in the plane
Alberto Calabri, Ciro Ciliberto
We discuss the concept of Cremona contractible plane curves, with an historical account on the development of this subject. We then classify Cremona contractible unions of d > 11 l…