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arXiv · 2607.18475

Obstructions to embedding singular curves in toric varieties

Maya Banks·Izzet Coskun·Kevin Tucker
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Abstract

For every integer $d \geq 2$, we show that there exists an irreducible, reduced curve which embeds in $\mathbb{P}^d$ but in no projective normal toric variety of dimension less than $d$. In particular, there exist reduced irreducible curves that embed in $\mathbb{P}^d$ but do not embed in any weighted projective space of dimension less than $d$.

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Maya Banks, Izzet Coskun, Kevin Tucker. 2026-07-20. Obstructions to embedding singular curves in toric varieties. https://arxiv.org/abs/2607.18475

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