Computing cohomology intersection numbers of GKZ hypergeometric systems
Saiei-Jaeyeong Matsubara-Heo
Abstract
In this review article, we report on some recent advances on the computational aspects of cohomology intersection numbers of GKZ systems. We also discuss the relation between intersection theory and evaluation of an integral of a product of powers of absolute values of polynomials.
Topics & Concepts
Intersection (aeronautics)MathematicsRelation (database)CohomologyAlgebra over a fieldHypergeometric functionIntersection theoryHypergeometric identityProduct (mathematics)Intersection homologyHypergeometric distributionPure mathematicsDiscrete mathematicsComputer scienceGeneralized hypergeometric functionHypergeometric function of a matrix argumentMathematical analysisDifferential equationGeometryEngineeringAerospace engineeringDatabaseDifferential algebraic equationOrdinary differential equationPolynomial and algebraic computationAlgebraic Geometry and Number TheoryCommutative Algebra and Its Applications