Perverse Curves and Mirror Symmetry
Algebraic Geometry
2020-01-09 v2 Symplectic Geometry
Abstract
This work establishes a subtle connection between mirror symmetry for Calabi-Yau threefolds and that of curves of higher genus. The linking structure is what we call a perverse curve. We show how to obtain such from Calabi-Yau threefolds in the Batyrev mirror construction and prove that their Hodge diamonds are related by the mirror duality.
Keywords
Cite
@article{arxiv.1309.1803,
title = {Perverse Curves and Mirror Symmetry},
author = {Helge Ruddat},
journal= {arXiv preprint arXiv:1309.1803},
year = {2020}
}
Comments
24 pages, 6 figures, to appear in J. Algebraic Geom