$L^2$ -Riemann-Roch for singular complex curves

preprint2015arXivOpen access

We present a comprehensive $L^2$ -theory for the $\overline\partial$ -operator on singular complex curves, including $L^2$ -versions of the Riemann-Roch theorem and some applications.

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$L^2$ -Riemann-Roch for singular complex curves

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L2L^2L2-Riemann-Roch for singular complex curves

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$L^2$ -Riemann-Roch for singular complex curves