Details

Autor(en) / Beteiligte

• Fantini, Lorenzo
• Favre, Charles
• Ruggiero, Matteo

Titel

Links of sandwiched surface singularities and self-similarity

Ist Teil von

• Manuscripta mathematica, 2020-05, Vol.162 (1-2), p.23-65, Article 23

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2020

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We characterize sandwiched singularities in terms of their link in two different settings. We first prove that such singularities are precisely the normal surface singularities having self-similar non-archimedean links. We describe this self-similarity both in terms of Berkovich analytic geometry and of the combinatorics of weighted dual graphs. We then show that a complex surface singularity is sandwiched if and only if its complex link can be embedded in a Kato surface in such a way that its complement remains connected.