Algebraic and Geometric Isomonodromic Deformations

  title={Algebraic and Geometric Isomonodromic Deformations},
  author={Charles F. Doran},
  journal={Journal of Differential Geometry},
  • C. Doran
  • Published 1 September 2001
  • Mathematics
  • Journal of Differential Geometry
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 � 

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