Polarized endomorphisms of complex normal varieties
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Publication:2267762
DOI10.1007/s00208-009-0420-yzbMath1189.14043arXiv0908.1688OpenAlexW2084214200MaRDI QIDQ2267762
Publication date: 2 March 2010
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.1688
Families, moduli, classification: algebraic theory (14J10) Normal analytic spaces (32C20) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Coverings in algebraic geometry (14E20)
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Cites Work
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- Zariski decomposition and canonical rings of elliptic threefolds
- Variétés kähleriennes dont la première classe de Chern est nulle
- The cone of curves of algebraic varieties
- Compact complex surfaces admitting non-trivial surjective endomorphisms
- Self maps of homogeneous spaces
- Compact varieties of surjective holomorphic endomorphisms
- Zariski decomposition of divisors on algebraic varieties
- Higher direct images of dualizing sheaves. II
- A numerical criterion for uniruledness
- Semi-ampleness of the numerically effective part of Zariski decomposition
- Stucture of birational automorphism groups. I: Non-uniruled varieties
- A boundedness theorem for morphisms between threefolds
- Shafarevich maps and plurigenera of algebraic varieties
- Maps onto certain Fano threefolds
- On endomorphisms of projective bundles
- Endomorphisms of smooth projective 3-folds with non-negative Kodaira dimension.
- Endomorphisms of homogeneous manifolds
- Zariski-decomposition and abundance
- Endomorphisms of smooth projective 3-folds with nonnegative Kodaira dimension. II
- Building blocks of étale endomorphisms of complex projective manifolds
- Minimal models and the Kodaira dimension of algebraic fiber spaces.
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Finite morphisms onto Fano manifolds of Picard number 1 which have rational curves with trivial normal bundles
- Local Simple Connectedness of Resolutions of Log-Terminal Singularities
- Families of rationally connected varieties
- RULED SURFACES WITH NON-TRIVIAL SURJECTIVE ENDOMORPHISMS
- The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
- Connexité rationnelle des variétés de Fano
- Linear Transformations with Invariant Cones