Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Moscow Mathematical Journal, 2016, Volume 16, Number 3, Pages 545–560
DOI: https://doi.org/10.17323/1609-4514-2016-16-3-545-560 (Mi mmj608) 		 
Mixed Hodge structure on complements of complex coordinate subspace arrangements

Yury V. Eliyashevab

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
Full-text PDF
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2016-16-3-545-560
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.
Funding agency Grant number
Russian Science Foundation 14-21-00053
Ministry of Education and Science of the Russian Federation 14.Y26.31.0006
Dynasty Foundation
The work on Section 1–2 was supported by RScF grant, project 14-21-00053 dated 11.08.14. Section 3 was prepared within the framework of a subsidy granted to the HSE by the Government of the Russian Federation for the implementation of the Global Competitiveness Program. The work on Section 3 was supported by the grant of the Russian Federation Government to support scientific research under the supervision of a leading scientist at Siberian Federal University, No. 14.Y26.31.0006. The author is supported in part by a Dynasty Foundation grant.
Received: January 16, 2014; in revised form July 12, 2015
Bibliographic databases:
Document Type: Article
MSC: 32J25
Language: English
Citation: Yury V. Eliyashev, “Mixed Hodge structure on complements of complex coordinate subspace arrangements”, Mosc. Math. J., 16:3 (2016), 545–560
Citation in format AMSBIB
\Bibitem{Eli16}
\by Yury~V.~Eliyashev
\paper Mixed Hodge structure on complements of complex coordinate subspace arrangements
\jour Mosc. Math.~J.
\yr 2016
\vol 16
\issue 3
\pages 545--560
\mathnet{http://mi.mathnet.ru/mmj608}
\crossref{https://doi.org/10.17323/1609-4514-2016-16-3-545-560}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3510211}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391210300004}
Linking options:
  • https://www.mathnet.ru/eng/mmj608
  • https://www.mathnet.ru/eng/mmj/v16/i3/p545
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
    Statistics & downloads:
    Abstract page:263
    Full-text PDF :2
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024