Abstract
For a singular algebraic curve we show that all closed extensions of\(\bar \partial \) are Fredholm, and we give a general index formula. In particular, we prove a modified version of a conjecture due to MacPherson.
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Communicated by A. Connes
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Brüning, J., Peyerimhoff, N. & Schröder, H. The\(\bar \partial \)-operator on algebraic curves. Commun.Math. Phys. 129, 525–534 (1990). https://doi.org/10.1007/BF02097104
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DOI: https://doi.org/10.1007/BF02097104