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Links of sandwiched surface singularities and self-similarity

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 نشر من قبل Matteo Ruggiero
 تاريخ النشر 2018
  مجال البحث
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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.



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