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math.AC2025
Detecting and Quantifying Isolated Singularities over Discrete Valuation Rings
Yotam Svoray
This paper develops a theory of isolated hypersurface singularities in mixed characteristic , focusing on quotient rings over a Discrete Valuation Ring (DVR). We introduce a…
math.AC2025
ADE Classification of Hypersurface Singularities over Local Rings
Yotam Svoray
In this paper we present an ADE-type classification of hypersurfaces of complete regular local rings based on their Cohen-Macaulay type. In order to preform this classification, we…
math.GR2025
Completely Syndetic Sets in Discrete Groups
Guy Salomon, Yotam Svoray, Ariel Yadin
We study completely syndetic (CS) sets in discrete groups - subsets that for every natural n admit finitely many left translates that jointly cover every n-tuple of group elements.…