Ultrametric properties for valuation spaces of normal surface singularities

Evelia García Barroso, Pedro González Pérez, Patrick Popescu-Pampu +1

Let $L$ be a fixed branch -- that is, an irreducible germ of curve -- on a normal surface singularity $X$. If $A,B$ are two other branches, define $u_L(A,B) := \dfrac{(L \cdot A) \…