Add to ORKGLet X be a projective variety of dimension r. We want to understand when two birational embeddings of the same variety are equivalent up to a Cremona transformation of the projective space, in this case we say that they are Cremona equivalent. It is proven that two birational embeddings of X in Pn with n >= r + 2 are Cremona equivalent. To do this, it is produced a chain of Cremona transformations that modify the linear systems giving the two embeddings one into the other. This is done by looking at the two birational embeddings as different projections of a common embedding. On the other hand, if n = r + 1, there are birationally divisors that are not Cremona equivalent. The case of plane curves is studied in details. Let C be an irredu...
In this paper we consider the birational classification of pairs (S,L), with S a rational surface an...
We give a constructive proof of a classical theorem which determines irreducible plane curves that a...
International audienceWe study large groups of birational transformations Bir(X), where X is a varie...
Polastri LetX be a projective variety of dimension r over an algebraically closed field. It is prove...
Two divisors in Pn are said to be Cremona equivalent if there is a Cremona modification sending one ...
Two birational subvarieties of Pn are called Cremona equivalent if there is a Cremona modification o...
We look at algebraic embeddings of the Cremona group in $n$ variables $Cr_n(C)$ to the groups of bir...
It is proved that two cones are Cremona equivalent if and only if they are brationa
We look at algebraic embeddings of the Cremona group in $n$ variables $Cr_n(C)$ to the groups of bir...
AbstractOne proves a general characteristic-free criterion for a rational map between projective var...
We look at algebraic embeddings of the Cremona group in n variables $Cr_n(\mathbb{C})$ to the groups...
The plane Cremona group $Cr_2(k)$ is the group of birational transformations of the plane that are d...
The plane Cremona group $Cr_2(k)$ is the group of birational transformations of the plane that are d...
International audienceWe classify all (abstract) homomorphisms from the group PGL(r+1)(C) to the gro...
The plane Cremona group $Cr_2(k)$ is the group of birational transformations of the plane that are d...
In this paper we consider the birational classification of pairs (S,L), with S a rational surface an...
We give a constructive proof of a classical theorem which determines irreducible plane curves that a...
International audienceWe study large groups of birational transformations Bir(X), where X is a varie...
Polastri LetX be a projective variety of dimension r over an algebraically closed field. It is prove...
Two divisors in Pn are said to be Cremona equivalent if there is a Cremona modification sending one ...
Two birational subvarieties of Pn are called Cremona equivalent if there is a Cremona modification o...
We look at algebraic embeddings of the Cremona group in $n$ variables $Cr_n(C)$ to the groups of bir...
It is proved that two cones are Cremona equivalent if and only if they are brationa
We look at algebraic embeddings of the Cremona group in $n$ variables $Cr_n(C)$ to the groups of bir...
AbstractOne proves a general characteristic-free criterion for a rational map between projective var...
We look at algebraic embeddings of the Cremona group in n variables $Cr_n(\mathbb{C})$ to the groups...
The plane Cremona group $Cr_2(k)$ is the group of birational transformations of the plane that are d...
The plane Cremona group $Cr_2(k)$ is the group of birational transformations of the plane that are d...
International audienceWe classify all (abstract) homomorphisms from the group PGL(r+1)(C) to the gro...
The plane Cremona group $Cr_2(k)$ is the group of birational transformations of the plane that are d...
In this paper we consider the birational classification of pairs (S,L), with S a rational surface an...
We give a constructive proof of a classical theorem which determines irreducible plane curves that a...
International audienceWe study large groups of birational transformations Bir(X), where X is a varie...