Tritangent planes to space sextic curves: a tropical viewpoint

By fgalluzzi, 19 February, 2026
Aula
Aula 2
Speaker
María Angélica Cueto
Afferenza
Ohio State University
Descrizione

Abstract: A classical result due to Clebsch from the mid-nineteenth century confirms that every complex space sextic curve (given as an intersection of a quadric and a cubic surface in projective 3-space) has exactly 120 tritangent planes. In this talk we will show how to use combinatorial methods arising from tropical geometry to revisit this classical problem and perform the analogous count over the reals and extensions thereof. This is joint work with Yoav Len, Hannah Markwig and Yue Ren (arXiv:2512.24277).

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