Mirrors to del Pezzo surfaces and the classification of \(T\)-polygons

DOI10.3842/sigma.2024.095MaRDI QIDQ6646230

Wendelin Lutz

Publication date: 29 November 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

mirror symmetrydel Pezzo surfacesmutations\(T\)-polygonsmaximally mutable Laurent polynomial

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

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• Mutations of Laurent polynomials and flat families with toric fibers
• Mirror symmetry for log Calabi-Yau surfaces. I
• Symplectic birational transformations of the plane
• Homological mirror symmetry for log Calabi-Yau surfaces
• Mirror symmetry and the classification of orbifold del Pezzo surfaces
• Birational geometry of cluster algebras
• MINIMALITY AND MUTATION-EQUIVALENCE OF POLYGONS
• Period integrals and mutation
• Moduli of surfaces with an anti-canonical cycle
• The Sarkisov program for Mori fibred Calabi-Yau pairs
• Geometry of the plane Cremona maps
• The 3-dimensional Lyness map and a self-mirror log Calabi-Yau 3-fold

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