English

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

Algebraic Geometry 2025-08-19 v2

Abstract

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

Keywords

Cite

@article{arxiv.2501.05447,
  title  = {On the addition technique for Betti and Poincar\'e polynomials of plane curves},
  author = {Piotr Pokora},
  journal= {arXiv preprint arXiv:2501.05447},
  year   = {2025}
}

Comments

7 pages, the second extended version with some new examples, to appear in Bulletin of the Polish Academy of Sciences - Mathematics