Inner geometry of complex surfaces: a valuative approach

DOI10.2140/gt.2022.26.163zbMath1487.32166arXiv1905.01677OpenAlexW2943734713MaRDI QIDQ2138592

Lorenzo Fantini, André Belotto da Silva, Anne Pichon

Publication date: 12 May 2022

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01677

zbMATH Keywords

Milnor fiberssurface singularitiesLê-Greuel-Teissier formula

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex surface and hypersurface singularities (32S25) Milnor fibration; relations with knot theory (32S55) Local complex singularities (32S05)

Related Items (2)

On Lipschitz normally embedded complex surface germs ⋮ Polar exploration of complex surface germs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Resolution of singularities of the cotangent sheaf of a singular variety
• \(L^ 2\)-cohomology of normal algebraic surfaces. I
• Pseudo-periodic maps and degeneration of Riemann surfaces
• Holomorphic self-maps of singular rational surfaces
• Lipschitz properties of semi-analytic sets
• Multi-step concentration of the curvature in Milnor fibers
• Résolution de Nash des points doubles rationnels
• Variétés polaires locales et classes de Chern des variétés singulieres
• Calculation of Milnor number of isolated singularity of complete intersection
• Galois descent of semi-affinoid spaces
• Remarks on the \(L^ 2\)-cohomology of singular algebraic surfaces
• Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten
• The valuative tree
• Hypercohomology of Milnor fibres
• The thick-thin decomposition and the bilipschitz classification of normal surface singularities
• Links of sandwiched surface singularities and self-similarity
• The valuative tree is the projective limit of Eggers-Wall trees
• Weight functions on Berkovich curves
• Sandwiched singularities and desingularization of surfaces by normalized Nash transformations
• The reduction of the singularities of an algebraic surface
• A characterization of Lipschitz normally embedded surface singularities
• Minimal surface singularities are Lipschitz normally embedded
• Normalized Berkovich spaces and surface singularities
• Local dynamics of non-invertible maps near normal surface singularities
• On the growth behaviour of Hironaka quotients
• Ultrametric properties for valuation spaces of normal surface singularities
• Dynamics on Berkovich Spaces in Low Dimensions
• Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces
• Normal Two-Dimensional Singularities. (AM-71)

This page was built for publication: Inner geometry of complex surfaces: a valuative approach