Search results for "Geometric origin"

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On symplectically rigid local systems of rank four and Calabi–Yau operators

2013

AbstractWe classify all Sp4(C)-rigid, quasi-unipotent local systems and show that all of them have geometric origin. Furthermore, we investigate which of those having a maximal unipotent element are induced by fourth order Calabi–Yau operators. Via this approach, we reconstruct all known Calabi–Yau operators inducing an Sp4(C)-rigid monodromy tuple and obtain closed formulae for special solutions of them.

Pure mathematicsAlgebra and Number TheoryHadamard productRank (linear algebra)Geometric originUnipotentOperator theoryConvolutionConvolutionAlgebraComputational MathematicsMathematics::Algebraic GeometryMonodromyRigidityCalabi–Yau operatorsCalabi–Yau manifoldHadamard productMathematics::Differential GeometryTupleMathematics::Symplectic GeometryMathematicsJournal of Symbolic Computation
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