Yenni Cherik

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20222026

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math.AG2026

Inner Lipschitz Geometry of Complex Surface Germs with Non-Isolated Singularities: A Complete Classification

Yenni Cherik

Let $(X, 0)$ be a germ of a reduced and irreducible complex surface embedded in $(C^{k}, 0)$ . In this paper, we give a complete invariant of the inner Lipschitz geometry of co…

math.AG2024

Lipschitz geometry of complex surface germs via inner rates of primary ideals

Yenni Cherik

Let $(X, 0)$ be a normal complex surface germ embedded in $(C^{n}, 0)$ , and denote by $m$ the maximal ideal of the local ring $O_{X, 0}$ . In this paper,…

math.AG2022

Inner rates of finite morphisms

Yenni Cherik

Let $(X, 0)$ be a complex analytic surface germ embedded in $(C^{n}, 0)$ with an isolated singularity and $Φ = (g, f) : (X, 0) ⟶ (C^{2}, 0)$ be a finite morphis…