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Perverse Curves and Mirror Symmetry

Helge Ruddat

Number 8
Author Helge Ruddat
Year 2013

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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