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arXiv · 1309.1803

Perverse Curves and Mirror Symmetry

Helge Ruddat
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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.

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Helge Ruddat. 2013-09-07. Perverse Curves and Mirror Symmetry. https://doi.org/10.1090/jag%2F666

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