Monodromy of hypergeometric functions arising from arrangements of hyperplanes

zbMath0869.32006arXivalg-geom/9608031MaRDI QIDQ3130264

Herbert Kanarek

Publication date: 23 April 1997

Full work available at URL: https://arxiv.org/abs/alg-geom/9608031

zbMATH Keywords

hypergeometric functionsmonodromydeformationarrangements of hyperplanesvanishing theoremsGauss-Manin connectionholomorphic connectionsmooth algebraic varietysmooth compactificationnormal crossings divisor

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Analytic sheaves and cohomology groups (32C35) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Divisors, linear systems, invertible sheaves (14C20) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Vanishing theorems (32L20)

Related Items (2)

𝛽𝐧𝐛𝐜-bases for cohomology of local systems on hyperplane complements ⋮ The Gauss-Manin connection of the integral of the deformed difference product

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