Kouchnirenko type formulas for local invariants of plane analytic curves

Abstract

Let f(x,y)=0 be an equation of plane analytic curve defined in the neighborhood of the origin and let π:M(2,0) be a local toric modification. We give a formula which connects a number of double points δ0(f) with a sum Σp δp( f)$ which runs over all intersection points of the proper preimage of f=0 with the exceptional divisor.

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