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.

Grassi, A. (2023). Reflexive polygons and rational elliptic surfaces. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 72(6), 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.
2023
Grassi, A. (2023). Reflexive polygons and rational elliptic surfaces. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 72(6), 3185-3221 [10.1007/s12215-023-00922-3].
Grassi, Antonella, Gugatti, Giulia, Lutz, Wendelin, Petracci, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/952061
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