L^2-Riemann-Roch for singular complex curves

Jean Ruppenthal and Martin Sera

Journal of Singularities
volume 11 (2015), 67-84

Received: 25 February 2014. Received in revised form: 20 April 2015.

DOI: 10.5427/jsing.2015.11d

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


Dolbeault operator, L^2-theory, singular complex curves, Riemann-Roch theorem

Mathematical Subject Classification:

32W05, 32C36, 14C40

Author(s) information:

Jean Ruppenthal Martin Sera
Department of Mathematics Department of Mathematics
University of Wuppertal University of Wuppertal
Gauss Str. 20 Gauss Str. 20
42119 Wuppertal, Germany 42119 Wuppertal, Germany
email: ruppenthal@uni-wuppertal.de email: sera@math.uni-wuppertal.de