English

Logarithmic Hesse's Problem

Algebraic Geometry 2011-02-09 v1

Abstract

We show that if a Laurent polynomial on the coordinate ring of the complex algebraic torus on n variables has vanishing logarithmic Hessian, then up to an automorphism of the torus, the Laurent polynomial depends on at most n-1 variables.

Keywords

Cite

@article{arxiv.1102.1659,
  title  = {Logarithmic Hesse's Problem},
  author = {Thiago Fassarella},
  journal= {arXiv preprint arXiv:1102.1659},
  year   = {2011}
}
R2 v1 2026-06-21T17:23:25.400Z