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Donagi-Markman cubic for Hitchin systems

David Balduzzi

math.AGarXiv:math/0607060

Abstract

The Donagi-Markman cubic is the differential of the period map for algebraic completely integrable systems. Here we prove a formula for the cubic in the case of Hitchin's system for arbitrary g. This was originally stated (without proof) by Pantev for sln.

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