Moscow Mathematical Journal

Volume 16, Issue 3, July–September 2016 pp. 545–560.

Mixed Hodge Structure on Complements of Complex Coordinate Subspace Arrangements

Authors: Yury V. Eliyashev (1)
Author institution:(1) Faculty of Mathematics, National Research University Higher School of Economics, 7 Vavilova Str., 117312 Moscow, and
Institute of Mathematics and Computer Science, Siberian Federal University, 79 Svobodny pr., 660041 Krasnoyarsk, Russia

Summary:

We compute the mixed Hodge structure on the cohomology ring of complements of complex coordinate subspace arrangements. The mixed Hodge structure can be described in terms of the special bigrading on the cohomology ring of complements of complex coordinate subspace arrangements. Originally this bigrading was introduced in the setting of toric topology by V. M. Buchstaber and T. E. Panov.

2010 Math. Subj. Class. 32J25.

Keywords: Mixed Hodge structure, subspace arrangements.

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