$L^2$-theory for the $ar{partial}$-operator on complex spaces with isolated singularities

$L^2$-theory for the $ar{partial}$-operator on complex spaces with isolated singularities
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具有孤立奇点的复杂空间上的$L^2$-理论$ar{partial}$-运算符

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发表时间:
2011
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通讯作者:
J. Ruppenthal
J. Ruppenthal
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作者:
J. Ruppenthal

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我们提出了一个精炼的,改进的$L^2$-理论的$具有孤立奇点的纯n维Hermite复空间上$(0,q)$和$(n,q)$-形式的ar{偏}$-算子一般的哲学是使用奇点的分解来获得L^2 $-上同调的正则模型。
We present a refined, improved $L^2$-theory for the $ar{partial}$-operator for $(0,q)$ and $(n,q)$-forms on Hermitian complex spaces of pure dimension $n$ with isolated singularities. The general philosophy is to use a resolution of singularities to obtain a regular model of the $L^2$-cohomology.