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Combinatorics of T-singular surfaces

Event Category:
Valley Geometry Seminar
Julie Rana
Lawrence University

We describe concrete bounds that limit the number of possible types of T-singularies on a stable surface with a fixed number of singularities. While the ultimate bounds are complicated, they greatly simplify the search for T-singular surfaces. We focus on concrete examples of surfaces with multiple T-singularities (including something coming from a K3!) and discuss some of the combinatorial techniques used to obtain the bounds. This is joint work with Giancarlo Urzúa and Fernando Figueroa.

Friday, May 3, 2024 - 2:30pm
LGRT 1114