English

On quadratic polynomial mappings from $\mathbb{C}^3$ to $\mathbb{C}^2$

Algebraic Geometry 2023-10-10 v1 Complex Variables

Abstract

We classify quadratic polynomial mappings from C3\mathbb{C}^3 to C2\mathbb{C}^2 up to affine equivalence and topological equivalence. This is a part of a larger project, we have already classified mappings from C2\mathbb{C}^2 to Cn\mathbb{C}^n and inted to classify mappings from C3\mathbb{C}^3 to C3\mathbb{C}^3.

Cite

@article{arxiv.2310.05173,
  title  = {On quadratic polynomial mappings from $\mathbb{C}^3$ to $\mathbb{C}^2$},
  author = {M. Farnik},
  journal= {arXiv preprint arXiv:2310.05173},
  year   = {2023}
}

Comments

34 pages

R2 v1 2026-06-28T12:43:54.741Z