Geodesic
Mirrors to Del Pezzo Surfaces and the Classification of $T$-Polygons
Symmetry, integrability and geometry: methods and applications, Tome 20 (2024) Cet article a éte moissonné depuis la source Math-Net.Ru

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We give a new geometric proof of the classification of $T$-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 $\mathbb{Q}$-Gorenstein degenerations of a smooth del Pezzo $X$ surface are connected via trees of rational curves in the moduli space of $X$.
Keywords: mirror symmetry, del Pezzo surfaces
Mots-clés : $T$-polygons, mutations, maximally mutable Laurent polynomial. 
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     author = {Wendelin Lutz},
     title = {Mirrors to {Del} {Pezzo} {Surfaces} and the {Classification} of $T${-Polygons}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2024_20_a94/}
}
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Wendelin Lutz. Mirrors to Del Pezzo Surfaces and the Classification of $T$-Polygons. Symmetry, integrability and geometry: methods and applications, Tome 20 (2024). http://geodesic.mathdoc.fr/item/SIGMA_2024_20_a94/

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