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arXiv · 2102.09034

On intrinsic negative curves

Antonio Laface·Luca Ugaglia
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Abstract

Let $\mathbb K$ be an algebraically closed field of characteristic $0$. A curve of $(\mathbb K^*)^2$ arising from a Laurent polynomial in two variables is {\em intrinsic negative} if its tropical compactification has negative self-intersection. The aim of this note is to start a systematic study of these curves and to relate them with the problem of computing Seshadri constants of toric surfaces.

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Antonio Laface, Luca Ugaglia. 2021-02-17. On intrinsic negative curves. https://arxiv.org/abs/2102.09034

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