Mirrors to Del Pezzo Surfaces and the Classification of -Polygons

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• ISSN: 1815-0659
• Main Author: Lutz, Wendelin
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212650
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Mirrors to Del Pezzo Surfaces and the Classification of -Polygons. Wendelin Lutz. SIGMA 20 (2024), 095, 20 pages

We give a new geometric proof of the classification of -polygons, a theorem originally due to Kasprzyk, Nill, and Prince, using ideas from mirror symmetry. In particular, this gives a completely geometric proof that any two toric ℚ-Gorenstein degenerations of a smooth del Pezzo surface are connecte...