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Splice type surface singularities and their local tropicalizations
Algebraic Geometry and Number Theory| Speaker: | Maria Angelica Cueto, Ohio State University |
| Related Webpage: | https://people.math.osu.edu/cueto.5/ |
| Location: | 2112 MSB |
| Start time: | Wed, May 3 2023, 4:10PM |
Splice type surface singularities were introduced by Neumann and Wahl as a generalization of the class of Pham–Brieskorn–Hamm complete intersections of dimension two. Their construction depends on a weighted graph with no loops called a splice diagram. In this talk, I will report on joint work with Patrick Popescu–Pampu and Dmitry Stepanov (arXiv:2108.05912) that sheds new light on these singularities via tropical methods. I will discuss how to reprove some of Neumann and Wahl's earlier results on these singularities, and show that splice type surface singularities are Newton non-degenerate in the sense of Khovanskii.