Links of sandwiched surface singularities and selfsimilarity
Abstract
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 selfsimilar nonarchimedean links. We describe this selfsimilarity 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.
 Publication:

arXiv eprints
 Pub Date:
 February 2018
 arXiv:
 arXiv:1802.08594
 Bibcode:
 2018arXiv180208594F
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Complex Variables;
 14B05;
 32P05;
 32S05
 EPrint:
 35 pages