6533b85bfe1ef96bd12ba1fc

RESEARCH PRODUCT

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

Michael BognerStefan Reiter

subject

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

description

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.

yearjournalcountryeditionlanguage
2013-01-01Journal of Symbolic Computation
10.1016/j.jsc.2011.11.007http://dx.doi.org/10.1016/j.jsc.2011.11.007