The Futaki invariant on the blowup of K\"ahler surfaces
classification
🧮 math.DG
keywords
ahlerblowupfutakisurfacesarezzo-pacardbalancingclassicalcondition
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We prove the expansion formula for the classical Futaki invariants on the blowup of K\"ahler surfaces, which explains the balancing condition of Arezzo-Pacard. The relation with Stoppa's result is also discussed.
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