Real structures on root stacks and parabolic connections
Geometriae Dedicata(2024)
Abstract
Let D be a reduced effective strict normal crossing divisor on a smooth complex variety X , and let 𝔛_D be the associated root stack over ℂ . Suppose that X admits an anti-holomorphic involution (real structure) that keeps D invariant. We show that the root stack 𝔛_D naturally admits a real structure compatible with X . We also establish an equivalence of categories between the category of real logarithmic connections on this root stack and the category of real parabolic connections on X .
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Key words
Parabolic bundle,Root stack,Connection
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