Calabi-Yau threefolds with a curve of singularities and counterexamples to the Torelli problem
Algebraic Geometry
2009-10-31 v2
Abstract
Birational Calabi-Yau threefolds in the same deformation family provide a `weak' counterexample to the global Torelli problem, as long as they are not isomorphic. In this paper, it is shown that deformations of certain desingularized weighted complete intersections provide examples of families containing birational varieties. The constructed examples are shown to be non-isomorphic using a specialization argument.
Keywords
Cite
@article{arxiv.math/9901078,
title = {Calabi-Yau threefolds with a curve of singularities and counterexamples to the Torelli problem},
author = {Balazs Szendroi},
journal= {arXiv preprint arXiv:math/9901078},
year = {2009}
}
Comments
Improved, shortened version, approx. 10 pages, LaTeX. To appear in Int. J. Math