Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Perverse curves and mirror symmetry


Author: Helge Ruddat
Journal: J. Algebraic Geom. 26 (2017), 17-42
DOI: https://doi.org/10.1090/jag/666
Published electronically: June 7, 2016
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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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Additional Information

Helge Ruddat
Affiliation: JGU Mainz, Institut für Mathematik, Staudingerweg 9, 55099 Mainz, Germany
Email: ruddat@uni-mainz.de

DOI: https://doi.org/10.1090/jag/666
Received by editor(s): September 20, 2013
Received by editor(s) in revised form: April 26, 2014, and May 12, 2014
Published electronically: June 7, 2016
Article copyright: © Copyright 2016 University Press, Inc.

American Mathematical Society