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Izv. Akad. Nauk SSSR Ser. Mat., 1986, Volume 50, Issue 5, Pages 925–945 (Mi izv1541)  

This article is cited in 37 scientific papers (total in 37 papers)

Newton polyhedra and an algorithm for computing Hodge–Deligne numbers

V. I. Danilov, A. G. Khovanskii

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.

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English version:
Mathematics of the USSR-Izvestiya, 1987, 29:2, 279–298

Bibliographic databases:

UDC: 512.7
MSC: Primary 14F25, 14C30, 14L32; Secondary 32J25, 14J40, 52A25
Received: 13.07.1984

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
\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
\jour Math. USSR-Izv.
\yr 1987
\vol 29
\issue 2
\pages 279--298

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