A survey of boundary value problems for bundles over complex spaces

Harris, Adam. "A survey of boundary value problems for bundles over complex spaces." Proceedings of the 21st Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2002. [89]-95. <http://eudml.org/doc/221612>.

@inProceedings{Harris2002,
abstract = {Let $X$ be a reduced $n$-dimensional complex space, for which the set of singularities consists of finitely many points. If $X^\{\prime \}\subseteq X$ denotes the set of smooth points, the author considers a holomorphic vector bundle $E\rightarrow X^\{\prime \} \setminus A$, equipped with a Hermitian metric $h$, where $A$ represents a closed analytic subset of complex codimension at least two. The results, surveyed in this paper, provide criteria for holomorphic extension of $E$ across $A$, or across the singular points of $X$ if $A =\varnothing $. The approach taken here is via the metric $h$, and in particular via the $L^2$-theory of the Cauchy-Riemann equation on a punctured neighbourhood for differential $(p,q)$-forms with coefficients in $E$ .},
author = {Harris, Adam},
booktitle = {Proceedings of the 21st Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {[89]-95},
publisher = {Circolo Matematico di Palermo},
title = {A survey of boundary value problems for bundles over complex spaces},
url = {http://eudml.org/doc/221612},
year = {2002},
}

TY - CLSWK
AU - Harris, Adam
TI - A survey of boundary value problems for bundles over complex spaces
T2 - Proceedings of the 21st Winter School "Geometry and Physics"
PY - 2002
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [89]
EP - 95
AB - Let $X$ be a reduced $n$-dimensional complex space, for which the set of singularities consists of finitely many points. If $X^{\prime }\subseteq X$ denotes the set of smooth points, the author considers a holomorphic vector bundle $E\rightarrow X^{\prime } \setminus A$, equipped with a Hermitian metric $h$, where $A$ represents a closed analytic subset of complex codimension at least two. The results, surveyed in this paper, provide criteria for holomorphic extension of $E$ across $A$, or across the singular points of $X$ if $A =\varnothing $. The approach taken here is via the metric $h$, and in particular via the $L^2$-theory of the Cauchy-Riemann equation on a punctured neighbourhood for differential $(p,q)$-forms with coefficients in $E$ .
KW - Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/221612
ER -