Links of sandwiched surface singularities and self-similarity
arXiv:1802.08594 · doi:10.1007/s00229-019-01126-9
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 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.
arXiv comment35 pages
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