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math.AG2013★ 7 cited
Algebraic characterization of differential operators of Calabi-Yau type
Michael Bogner
We give an algebraic characterization of Picard-Fuchs operators attached to families of Calabi-Yau manifolds with a point of maximally unipotent monodromy and discuss possibilities…
math.AG2012
Some fourth order CY-type operators with non symplectically rigid monodromy
Michael Bogner, Stefan Reiter
We study tuples of matrices with rigidity index two in $\Sp_4(\mathbb{C})$, which are potentially induced by differential operators of Calabi-Yau type. The constructions of those m…
math.AG2011
On symplectically rigid local systems of rank four and Calabi-Yau operators
Michael Bogner, Stefan Reiter
We classify all $\Sp_4(\mathbb{C})$-rigid, quasi-unipotent local systems and show that all of them have geometric origin. Furthermore, we investigate which of those having a maxima…