Holomorphic self-maps of singular rational surfaces

DOI10.5565/PUBLMAT_54210_06zbMath1200.14066arXiv0809.1724MaRDI QIDQ987149

Charles Favre

Publication date: 13 August 2010

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1724

zbMATH Keywords

dynamicssurface singularityrational mapslog-canonical singularityvaluation space

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

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Inner geometry of complex surfaces: a valuative approach ⋮ Entropy and flatness in local algebraic dynamics ⋮ Singularity of normal complex analytic surfaces admitting non-isomorphic finite surjective endomorphisms ⋮ The volume of an isolated singularity ⋮ Invariant hypersurfaces of endomorphisms of projective varieties ⋮ Singularities of varieties admitting an endomorphism ⋮ On isolated singularities with a noninvertible finite endomorphism ⋮ Topology of spaces of valuations and geometry of singularities ⋮ Remarks on log Calabi-Yau structure of varieties admitting polarized endomorphisms ⋮ Local dynamics of non-invertible maps near normal surface singularities ⋮ Links of sandwiched surface singularities and self-similarity ⋮ Ultrametric properties for valuation spaces of normal surface singularities ⋮ Rationality of rationally connected threefolds admitting non-isomorphic endomorphisms ⋮ The valuative tree is the projective limit of Eggers-Wall trees ⋮ On the homeomorphism type of some spaces of valuations

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