Ultrametric properties for valuation spaces of normal surface singularities

30 Jul 2019 Barroso Evelia García Pérez Pedro González Popescu-Pampu Patrick Ruggiero Matteo

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 $u_L(A,B) := \dfrac{(L \cdot A) \: (L \cdot B)}{A \cdot B}$, where $A \cdot B$ denotes the intersection number of $A$ and $B$... (read more)

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  • ALGEBRAIC GEOMETRY