Singularities of varieties admitting an endomorphism
Résumé
Let be a normal variety such that is -Cartier, and let be a finite surjective morphism of degree at least two. We establish a close relation between the irreducible components of the locus of singularities that are not log-canonical and the dynamics of the endomorphism . As a consequence we prove that if is projective and polarised, then has at most log-canonical singularities.
Domaines
Géométrie algébrique [math.AG]
Origine : Fichiers produits par l'(les) auteur(s)