Mirrors to Del Pezzo Surfaces and the Classification of -Polygons

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• 1. Verfasser: Lutz, Wendelin
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212650
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...