Reflexive polygons and rational elliptic surfaces
Algebraic Geometry
2023-05-16 v2
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.
Keywords
Cite
@article{arxiv.2302.05751,
title = {Reflexive polygons and rational elliptic surfaces},
author = {Antonella Grassi and Giulia Gugiatti and Wendelin Lutz and Andrea Petracci},
journal= {arXiv preprint arXiv:2302.05751},
year = {2023}
}