The Hodge filtration on complements of complex coordinate subspace arrangements and integral representations of holomorphic functions

Yury Eliyashev

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arXiv · 1305.2549

The Hodge filtration on complements of complex coordinate subspace arrangements and integral representations of holomorphic functions

Yury Eliyashev

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Abstract

We compute the Hodge filtration on cohomology groups of complements of complex coordinate subspace arrangements. By means of this result we construct integral representations of holomorphic functions such that kernels of these representations have singularities on complex coordinate subspace arrangements.

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Yury Eliyashev. 2013-05-12. The Hodge filtration on complements of complex coordinate subspace arrangements and integral representations of holomorphic functions. https://arxiv.org/abs/1305.2549

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