# A survey of boundary value problems for bundles over complex spaces

- Proceedings of the 21st Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [89]-95

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topHarris, 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 -

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