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math.AG2018★ 3 cited
On the Milnor formula in arbitrary characteristic
Evelia R. García Barroso, Arkadiusz Płoski
The Milnor formula relates the Milnor number , the double point number and the number of branches of a plane curve singularity. It holds over the fields of ch…
math.AG2018
Ultrametric properties for valuation spaces of normal surface singularities
Evelia García Barroso, Pedro González Pérez, Patrick Popescu-Pampu +1
Let be a fixed branch -- that is, an irreducible germ of curve -- on a normal surface singularity . If are two other branches, define $u_L(A,B) := \dfrac{(L \cdot A) \…