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math.AG2010
Surfaces with nontrivial surjective endomorphisms of any given degree
Antonio Rapagnetta, Pietro Sabatino
We present a complete classification of complex projective surfaces with nontrivial self-maps (i.e. surjective morphisms which are not isomorphisms) of any g…
math.AG2010
On homaloidal polynomial functions of degree 3 and prehomogeneous vector spaces
Pierre-Emmanuel Chaput, Pietro Sabatino
In this paper we consider homaloidal polynomial functions such that their multiplicative Legendre transform , defined as in \cite[Section3.2]{MR1890194}, is again polynomi…