Periods for flat algebraic connections

Abstract

In previous work, we established a duality between the algebraic de Rham cohomology of a flat algebraic connection on a smooth quasi-projective surface over the complex numbers and the rapid decay homology of the dual connection relying on a conjecture by C. Sabbah, which has been proved recently by T. Mochizuki for algebraic connections in any dimension. In the present article, we verify that Mochizuki's results allow to generalize these duality results to arbitrary dimensions also.

Cited by in corpus (6)

• E_1-degeneration of the irregular Hodge filtration (with an appendix by Morihiko Saito)
• Algebraic aspects of hypergeometric differential equations
• Quadratic relations between Bessel moments
• Quadratic relations between periods of connections
• Gevrey expansions of hypergeometric integrals I
• A Boundedness theorem for nearby slopes of holonomic D-modules