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math.AG2025
Algebraic normalisation
Adam Białożyt
We present a strictly geometric c-algebraic version of the analytic set normalisation. With the introduced tool we prove the Nullstellensatz for c-algebraic functions and study the…
math.AG2024
Medial axis detects non-Lipschitz normally embedded points
Adam Białożyt
We demonstrate that every point where X - a closed subset of R^n - is not Lipschitz Normally Embedded is approached by the medial axis of X.
math.AG2020
On the Nullstellensatz for c-holomorphic functions with algebraic graphs
Adam Białożyt, Maciej P. Denkowski, Piotr Tworzewski
C-holomorphic functions defined on algebraic sets and having algebraic graphs can be considered as a complex counterpart of regulous functions introduced recently in real geometry.…