On residue localization for complex supermanifolds
classification
🧮 math.DG
math-phmath.AGmath.MPmath.SG
keywords
residuecomplexformulaholomorphiclocalizationsupermanifoldsbosoniccoincide
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We prove a holomorphic residue localization formula for odd holomorphic vector fields on compact complex supermanifolds whose fermionic and bosonic dimensions coincide. Under isolated non-degeneracy hypotheses on the reduced zero set, we give an explicit local residue formula.
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