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Newton polyhedra and vanishing cohomology. (English. Russian original) Zbl 0427.14006
Funct. Anal. Appl. 13, 103-115 (1979); translation from Funkts. Anal. Prilozh. 13, No. 2, 32-47 (1979).

MSC:
14C30 Transcendental methods, Hodge theory (algebro-geometric aspects)
14B05 Singularities in algebraic geometry
14F25 Classical real and complex (co)homology in algebraic geometry
58A15 Exterior differential systems (Cartan theory)
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References:
[1] J. Steenbrink, ”Mixed Hodge structures on the vanishing cohomology,” Univ. Amsterdam, Report 76-06.
[2] P. Deligne, ”Hodge theory. II,” Matematika,17, No. 5, 3-57 (1973). · Zbl 0282.14001
[3] J. Milnor, Singular Points of Complex Hypersurfaces, Princeton Univ. Press. · Zbl 0184.48405
[4] V. I. Danilov, ”Geometry of toral varieties,” Usp. Mat. Nauk,33, No. 2, 85-135 (1978).
[5] A. G. Kouchnirenko, ”Polyedres de Newton et nombres de Milnor,” Inv. Math.,32, No. 1, 1-32 (1976). · Zbl 0328.32007 · doi:10.1007/BF01389769
[6] V. I. Arnol’d, ”The index of a singular point of a vector field, the Petrovskii?Oleinik inequalities, and mixed Hodge structures,” Funkts. Anal. Prilozhen.,12, No. 1, 1-14 (1978).
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