Algebraic and Geometric Isomonodromic Deformations

@inproceedings{Doran2001AlgebraicAG,
  title={Algebraic and Geometric Isomonodromic Deformations},
  author={Charles F. Doran},
  year={2001}
}
Using the Gauss-Manin connection (Picard-Fuchs differential equation) and a result of Malgrange, a special class of algebraic solutions to isomonodromic deformation equations, the geometric isomonodromic deformations ,i s defined from “families of families” of algebraic varieties. Geometric isomonodromic deformations arise naturally from combinatorial strata in the moduli spaces of elliptic surfaces over P1. The complete list of geometric � 

Tables from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 28 CITATIONS

Families of Painlevé VI equations having a common solution

VIEW 13 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Some explicit solutions to the Riemann–Hilbert problem

VIEW 11 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED