Calabi-Yau manifolds and generic Hodge groups

Abstract

We study the generic Hodge groups $\Hg(\sX)$ of local universal deformations $\sX$ of Calabi-Yau 3-manifolds with onedimensional complex moduli, give a complete list of all possible choices for $\Hg(\sX)_{\R}$ and determine the latter real groups for known examples.

26 pages

References in corpus (2)

• Maximal automorphisms of Calabi-Yau manifolds versus maximally unipotent monodromy
• Hassett-Tschinkel correspondence and automorphisms of the quadric