Yury V. Eliyashev, “Mixed Hodge structure on complements of complex coordinate subspace arrangements”, Mosc. Math. J., 2016, Volume 16, Number 3,Pages <nobr>545

Mixed Hodge structure on complements of complex coordinate subspace arrangements

Yury V. Eliyashev^ab

^a Institute of Mathematics and Computer Science, Siberian Federal University, 79 Svobodny pr., 660041 Krasnoyarsk, Russia
^b Faculty of Mathematics, National Research University Higher School of Economics, 7 Vavilova Str., 117312 Moscow, Russia

Abstract: 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.

Key words and phrases: mixed Hodge structure, subspace arrangements.

MSC: 32J25

Received: January 16, 2014; in revised form July 12, 2015

Language: English

DOI: 10.17323/1609-4514-2016-16-3-545-560