Splice type surface singularities and their local tropicalizations

Department's Seminar
24 May 2023
Start time 
1:30 pm
PovoZero - Via Sommarive 14, Povo (Trento)
Seminar Room 1 (Povo 0)
Maths Department
Target audience: 
University community
UniTrento students
Contact person: 
Roberto Pignatelli, Elisa Postinghel, Luis E. Solá Conde
Contact details: 
Università degli Studi Trento 38123 Povo (TN) - Staff Dipartimento di Matematica
María Angélica Cueto (Ohio State University)


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.

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