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arXiv · 1909.13087

On residue localization for complex supermanifolds

Leonardo Abath·Maurício Corrêa·Miguel Rodríguez Peña
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Abstract

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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Leonardo Abath, Maurício Corrêa, Miguel Rodríguez Peña. 2019-09-28. On residue localization for complex supermanifolds. https://arxiv.org/abs/1909.13087

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