6533b821fe1ef96bd127b969
RESEARCH PRODUCT
Some fourth order CY-type operators with non symplectically rigid monodromy
Michael BognerStefan Reitersubject
Pure mathematicsGeneral Mathematics010102 general mathematics010103 numerical & computational mathematicsDifferential operator01 natural sciencesMathematics - Algebraic GeometryFourth orderMathematics::Algebraic GeometryMonodromyMathematics - Classical Analysis and ODEsAlgebraic operationClassical Analysis and ODEs (math.CA)FOS: MathematicsHadamard product0101 mathematicsTupleMathematics::Symplectic GeometryAlgebraic Geometry (math.AG)Mathematicsdescription
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 monodromy tuples via algebraic operations and middle convolutions and the related constructions on the level differential operators lead to previously known and new examples.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-11-16 |