A geometric proof of the classification of T-polygons

Abstract: One formulation of mirror symmetry predicts (omitting a few adjectives) a one-to-one correspondence between equivalence classes of lattice polygons and deformation families of del Pezzo surfaces. Lattice polygons that correspond to smooth Del Pezzo surfaces are called T-polygons and have been classified by Kasprzyk-Nill-Prince using combinatorial methods, thereby verifying the conjecture in the smooth case. I will give a new geometric proof of their classification result.

algebraic geometrycombinatorics

Audience: researchers in the topic

Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html