Irreducibility of Severi varieties on toric surfaces

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• Karl Christ, Università degli studi di Torino
• Tuesday 25 March 2025, 10:00-11:00
• CMS MR13.

If you have a question about this talk, please contact Dhruv Ranganathan.

Severi varieties parametrize integral curves of fixed geometric genus in a given linear system on a surface. In this talk, I will discuss the classical question of whether Severi varieties are irreducible and its relation to the irreducibility of other moduli spaces of curves. I will indicate how tropical methods can be used to answer such irreducibility questions. The new results are from ongoing joint work with Xiang He and Ilya Tyomkin.

This talk is part of the Algebraic Geometry Seminar series.

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