Singularities of varieties admitting an endomorphism

Broustet, Amaël; Hoering, Andreas

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1007/s00208-014-1015-9

Permalink :

http://hdl.handle.net/20.500.12210/121798

Title :

Singularities of varieties admitting an endomorphism

Author(s) :

Broustet, Amaël [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Hoering, Andreas [Auteur]
Laboratoire Jean Alexandre Dieudonné [LJAD]

Journal title :

Mathematische Annalen

Pages :

439-456

Publisher :

Springer Verlag

Publication date :

2014

ISSN :

0025-5831

HAL domain(s) :

Mathématiques [math]/Géométrie algébrique [math.AG]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Submission date :

2025-01-24T14:34:10Z

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