Painlevé III: A Case Study in the Geometry of Meromorphic Connections

• Main Authors: Guest, Martin A. (Author), Hertling, Claus (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Mathematics, 2198
• Subjects: Mathematics.; Algebraic geometry.; Functions of complex variables.; Differential equations.; Special functions.; Ordinary Differential Equations.; Algebraic Geometry.; Special Functions.; Functions of a Complex Variable.

The purpose of this monograph is two-fold:  it introduces a conceptual language for the geometrical objects underlying Painlevé equations,  and it offers new results on a particular Painlevé III equation of type  PIII (D6), called PIII (0, 0, 4, −4), describing its relation to isomonodromic families...