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Mathematics of the USSR-Izvestiya, 1987, Volume 29, Issue 2, Pages 279–298
DOI: https://doi.org/10.1070/IM1987v029n02ABEH000970 (Mi im1541) 		 
This article is cited in 67 scientific papers (total in 67 papers)

Newton polyhedra and an algorithm for computing Hodge–Deligne numbers

V. I. Danilov, A. G. Khovanskii
English version PDF (1113 kB) Citations (67)
References:
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DOI: https://doi.org/10.1070/IM1987v029n02ABEH000970
Abstract: An algorithm is given for computing the mixed Hodge structure (more precisely, the Hodge–Deligne numbers) for cohomology of complete intersections in toric varieties in terms of Newton polyhedra specifying the complete intersection. In some particular cases the algorithm leads to explicit formulas.
Bibliography: 8 titles.
Received: 13.07.1984
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1986, Volume 50, Issue 5, Pages 925–945
Bibliographic databases:
UDC: 512.7
MSC: Primary 14F25, 14C30, 14L32; Secondary 32J25, 14J40, 52A25
Language: English
Original paper language: Russian
Citation: V. I. Danilov, A. G. Khovanskii, “Newton polyhedra and an algorithm for computing Hodge–Deligne numbers”, Izv. Akad. Nauk SSSR Ser. Mat., 50:5 (1986), 925–945; Math. USSR-Izv., 29:2 (1987), 279–298
Citation in format AMSBIB
\Bibitem{DanKho86}
\by V.~I.~Danilov, A.~G.~Khovanskii
\paper Newton polyhedra and an algorithm for computing Hodge--Deligne numbers
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1986
\vol 50
\issue 5
\pages 925--945
\mathnet{http://mi.mathnet.ru/im1541}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=873655}
\zmath{https://zbmath.org/?q=an:0669.14012}
\transl
\jour Math. USSR-Izv.
\yr 1987
\vol 29
\issue 2
\pages 279--298
\crossref{https://doi.org/10.1070/IM1987v029n02ABEH000970}
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  • https://doi.org/10.1070/IM1987v029n02ABEH000970
  • https://www.mathnet.ru/eng/im/v50/i5/p925
    • This publication is cited in the following 67 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:2180
    Russian version PDF:936
    English version PDF:37
    References:101
    First page:3
     
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