Some Taylor varieties with null Hessian
Algebraic Geometry
2026-05-06 v1
Abstract
Taylor varieties arise from Taylor expansion of rational functions in variables. Among them, we look for non-defective hypersurfaces. We prove that the cases and give new examples of hypersurfaces with identically null Hessian.
Cite
@article{arxiv.2605.03923,
title = {Some Taylor varieties with null Hessian},
author = {Thais Gomes Ribeiro and Elena Guardo and Manuela Muzika Dizdarević and Maryam Nowroozi and Pierpaola Santarsiero and Paola Supino},
journal= {arXiv preprint arXiv:2605.03923},
year = {2026}
}
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11 pages