Some fourth order CY-type operators with non-symplectically rigid monodromy. (English) Zbl 1361.32030
Summary: 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 of differential operators lead to previously known and new examples.
MSC:
| 32Q25 | Calabi-Yau theory (complex-analytic aspects) |
| 14J32 | Calabi-Yau manifolds (algebro-geometric aspects) |
| 34M35 | Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms |
| 34M15 | Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain |
Keywords:
Calabi-Yau operatorsReferences:
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