# Algebraic and Geometric Isomonodromic Deformations

@article{Doran2001AlgebraicAG, title={Algebraic and Geometric Isomonodromic Deformations}, author={Charles F. Doran}, journal={Journal of Differential Geometry}, year={2001}, volume={59}, pages={33-85} }

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 �

## 46 Citations

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