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

Abstract

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.

19 pages

References in corpus (1)

• About the d-bar-equation at isolated singularities with regular exceptional set

Cited by in corpus (1)

• $L^2$-sheaves of holomorphic functions and $n$-forms on complex spaces with isolated singularities