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arXiv · 2605.03923

Some Taylor varieties with null Hessian

Thais Gomes Ribeiro·Elena Guardo·Manuela Muzika Dizdarević·Maryam Nowroozi·Pierpaola Santarsiero·Paola Supino
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Abstract

Taylor varieties $\mathcal{T}^n_{d,e,m}$ arise from Taylor expansion of rational functions in $n$ variables. Among them, we look for non-defective hypersurfaces. We prove that the cases $n=2$ and $m=d+2$ give new examples of hypersurfaces with identically null Hessian.

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Thais Gomes Ribeiro, Elena Guardo, Manuela Muzika Dizdarević, Maryam Nowroozi, Pierpaola Santarsiero, Paola Supino. 2026-05-05. Some Taylor varieties with null Hessian. https://arxiv.org/abs/2605.03923

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