Geodesic
The Hodge filtration on complements of complex subspace arrangements and integral representations of holomorphic functions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 2, pp. 174-185

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We compute the Hodge filtration on cohomology groups of complements of complex subspace arrangements. By means of this result we construct integral representations of holomorphic functions such that kernels of these representations have singularities on subspace arrangements.
Keywords: Hodge filtration, integral representations, toric topology.
Mots-clés : plane arrangements 
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     author = {Yury V. Eliyashev},
     title = {The {Hodge} filtration on complements of complex subspace arrangements and integral representations of holomorphic functions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {174--185},
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     number = {2},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2013_6_2_a4/}
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Yury V. Eliyashev. The Hodge filtration on complements of complex subspace arrangements and integral representations of holomorphic functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 2, pp. 174-185. http://geodesic.mathdoc.fr/item/JSFU_2013_6_2_a4/