Reflexive polygons and rational elliptic surfaces

Reflexive polygons and rational elliptic surfaces

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 anticanonic...

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Hauptverfasser: Grassi, Antonella, Gugiatti, Giulia, Lutz, Wendelin, Petracci, Andrea
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Zusammenfassung: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.
DOI:10.48550/arxiv.2302.05751