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arxiv: math/0003222 · v2 · submitted 2000-03-30 · 🧮 math.AG · math.SG

Variation of moduli of parabolic Higgs bundles

classification 🧮 math.AG math.SG
keywords modulibundleshiggsparabolicspaceweightschamberchoice
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We study moduli spaces of parabolic Higgs bundles on a curve and their dependence on the choice of weights. We describe the chamber structure on the space of weights and show that, when a wall is crossed, the moduli space undergoes an elementary transformation in the sense of Mukai.

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