In this note we study in detail the geometry of eight rational elliptic surfaces naturally associated to the sixteen reflexive polygons. The elliptic fibrations supported by these surfaces correspond under mirror symmetry to the eight families of smooth del Pezzo surfaces with very ample anticanonical bundle.
Reflexive polygons and rational elliptic surfaces / Grassi, Antonella, Gugatti, Giulia, Lutz, Wendelin, Petracci, Andrea. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 1973-4409. - STAMPA. - 72:6(2023), pp. 3185-3221. [10.1007/s12215-023-00922-3]
Reflexive polygons and rational elliptic surfaces
Grassi Antonella;Petracci Andrea
2023
Abstract
In this note we study in detail the geometry of eight rational elliptic surfaces naturally associated to the sixteen reflexive polygons. The elliptic fibrations supported by these surfaces correspond under mirror symmetry to the eight families of smooth del Pezzo surfaces with very ample anticanonical bundle.File in questo prodotto:
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