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arxiv: 1304.5930 · v4 · pith:DOFI3DHAnew · submitted 2013-04-22 · 🧮 math.CV

L²-Riemann-Roch for singular complex curves

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keywords complexcurvesriemann-rochsingularapplicationscomprehensiveincludingoperator
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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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