7 citations · 8 across the 6 of their papers we have counts for
6 papers
Some Mirror partners with Complex multiplication
Jan Christian Rohde
In this note we provide examples of families of Calabi-Yau 3-manifolds over Shimura varieties, whose mirror families contain subfamilies over Shimura varieties. Therefore these ori…
Calabi-Yau manifolds and generic Hodge groups
Jan Christian Rohde
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 possibl…
Maximal automorphisms of Calabi-Yau manifolds versus maximally unipotent monodromy
Jan Christian Rohde
Assume that the local universal deformation of a Calabi-Yau 3-manifold X has an automorphism which does not act by 1 or -1 on the third cohomology. We show that the bundle in…
Examples of Calabi-Yau 3-manifolds with complex multiplication
Jan Christian Rohde
We give some concrete examples of Calabi-Yau 3-manifolds with complex multiplication.
Cyclic coverings, Calabi-Yau manifolds and Complex multiplication
Jan Christian Rohde
We construct families of Calabi-Yau manifolds with dense set of complex multiplication fibers in an arbitrary dimension. We will also give explicite examples of complex multiplicat…
Short equations for the genus 2 covers of degree 3 of an elliptic curve
Jan Christian Rohde
E. Kani has shown that the Hurwitz functor, which parametrizes the (normalized) genus 2 covers of degree 3 of an elliptic curve, is representable. In this paper the corresponding m…