Concepedia

Intersection theory for twisted cohomologies and twisted Riemann’s period relations I

Koji Cho, Keiji Matsumoto

Nagoya Mathematical Journal · 1995 · 121 citations · 5 references

Open access

Concepts

Schubert CalculusDefinite IntegralTwisted CohomologiesGamma Function γIntersection TheoryComplex GeometryBeta Function BTopological Invariant

Abstract

The beta function B(α, β ) is defined by the following integral where arg , and the gamma function Γ(β ) by where arg .

References

5

Logarithmic de Rham complexes and vanishing theorems

H�l�ne Esnault, Eckart Viehweg · Inventiones mathematicae · 1986 · 164 citations

Global Analysis, Complex Geometry, Rham Complexes

Cohomology of local systems on the complement of hyperplanes

H�l�ne Esnault, Vadim Schechtman, Eckart Viehweg · Inventiones mathematicae · 1992 · 106 citations

Schubert Calculus, Projective Geometry, Local Systems +1

On vanishing of cohomology attached to certain many valued meromorphic functions

Kazuhiko Aomoto · Journal of the Mathematical Society of Japan · 1975 · 77 citations · Full text

Complex Geometry, Meromorphic Functions

On the structure of cohomology groups attached to the integral of certain many-valued analytic functions

Michitake Kita, Masatoshi Noumi · Japanese journal of mathematics · 1983 · 47 citations · Full text

Algebraic Analysis, Function Theory, Cohomology Groups +3

On hypergeometric functions in several variables II. The Wronskian of the hypergeometric functions of type (n+1,m+1)

Michitake Kita · Journal of the Mathematical Society of Japan · 1993 · 18 citations

Analytic Number Theory, Algebraic Analysis, Function Theory +5