Kouchnirenko type formulas for local invariants of plane analytic curves

Details Kouchnirenko type formulas for local invariants of plane analytic curves Kouchnirenko type formulas for local invariants of plane analytic curves

2007-07-23

arxiv.org/abs/0707.3404v1

Generalized Noether's formulas for plane curves singularities, Univ. Iagell. Acta Math. 48 (2010) 71-78

Mathematics

Algebraic Geometry

7 pages

Scientific paper

Let f(x,y)=0 be an equation of plane analytic curve defined in the
neighborhood of the origin and let $\pi:M\to(\Cn^2,0)$ be a local toric
modification. We give a formula which connects a number of double points
\delta_0(f)$ with a sum $\sum_p \delta_p(\tilde f)$ which runs over all
intersection points of the proper preimage of f=0 with the exceptional divisor.

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