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arXiv · 2302.05751

Reflexive polygons and rational elliptic surfaces

Antonella Grassi·Giulia Gugiatti·Wendelin Lutz·Andrea Petracci
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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.

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Antonella Grassi, Giulia Gugiatti, Wendelin Lutz, Andrea Petracci. 2023-02-11. Reflexive polygons and rational elliptic surfaces. https://arxiv.org/abs/2302.05751

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