Let K be an algebraically closed field of characteristic 0. A curve of (K∗)2 arising from a Laurent polynomial in two variables is 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.
Laface A., Ugaglia L. (2023). On Intrinsic Negative Curves. In T. Dedieu, F. Flamini, C. Fontanari, C. Galati, R. Pardini (a cura di), The Art of Doing Algebraic Geometry (pp. 241-259) [10.1007/978-3-031-11938-5_10].
On Intrinsic Negative Curves
Ugaglia L.
2023-04-15
Abstract
Let K be an algebraically closed field of characteristic 0. A curve of (K∗)2 arising from a Laurent polynomial in two variables is 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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