Kouchnirenko type formulas for local invariants of plane analytic curves


Let f(x, y) = 0, g(x, y) = 0 be equations of plane analytic curves defined in the neighborhood of the origin and let π : M → (C, 0) be a local toric modification. We give a formula which connects a number of double points hidden at zero δ0(f) with a sum P p δp(f̃) which runs over all intersection points of the proper preimage of f = 0 with the exceptional… (More)