On the addition technique for Betti and Poincar\'e polynomials of plane curves

TL;DR

This paper introduces polynomial identities for Betti and Poincaré polynomials of reduced plane curves using an addition technique, advancing the understanding of their topological invariants.

Contribution

It presents new polynomial identities for Betti and Poincaré polynomials of plane curves through an innovative addition technique.

Findings

Polynomial identities for Betti and Poincaré polynomials derived

Application of addition technique to plane curves

Enhanced understanding of topological invariants

Abstract

Using the addition technique, we present polynomial identities for the Betti and Poincar\'e polynomials of reduced plane curves.