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The del-bar-operator on algebraic curves (1990)
Journal Article
Bruening, J., Peyerimhoff, N., & Schroeder, H. (1990). The del-bar-operator on algebraic curves. Communications in Mathematical Physics, 129, 525-534. https://doi.org/10.1007/bf02097104

For a singular algebraic curve we show that all closed extensions of del-bar are Fredholm, and we give a general index formula. In particular, we prove a modified version of a conjecture due to Mac Pherson.