DEFORMATION THEORY OF FUCHSIAN EQUATIONS AND LOGARITHMIC CONNECTIONS

作者：Szabo Szilard^*

来源：Studia Scientiarum Mathematicarum Hungarica, 2012, 49(4): 466-481.

DOI：10.1556/SScMath.49.2012.4.1215

• Fuchsian differential equation
• accessory parameters
• logarithmic connection
• parabolic structure
• Hodge structure.

Motivated by a remark and a question of Nicholas Katz, we characterize the tangent space of the space of Fuchsian equations with given generic exponents inside the corresponding moduli space of logarithmic connections: we construct a weight 1 Hodge structure on the tangent space of the moduli of logarithmic connections such that deformations of Fuchsian equations correspond to the (1,0)-part.

• 出版日期2012-12