This article is cited in 3 scientific papers (total in 3 papers)
Tensor differential forms on algebraic varieties
Tensor (differential) forms on projective varieties are defined and studied in connection with certain birational invariants.
A sufficiently complete picture of the set of all tensor forms of the first kind on smooth projective hypersurfaces is given.
Restrictions of tensor forms, given on any smooth projective variety, to its intersection with a hypersurface are investigated. In particular, an analog of Lefschetz's theorem involving the usual skew-symmetric form is proved.
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Mathematics of the USSR-Izvestiya, 1971, 5:5, 1021–1048
MSC: Primary 14A10; Secondary 14F10
P. Bryukman, “Tensor differential forms on algebraic varieties”, Izv. Akad. Nauk SSSR Ser. Mat., 35:5 (1971), 1008–1036; Math. USSR-Izv., 5:5 (1971), 1021–1048
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\paper Tensor differential forms on algebraic varieties
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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This publication is cited in the following articles:
F. A. Bogomolov, “Holomorphic tensors and vector bundles on projective varieties”, Math. USSR-Izv., 13:3 (1979), 499–555
F. A. Bogomolov, “Holomorphic symmetric tensors on projective surfaces”, Russian Math. Surveys, 33:5 (1978), 179–180
D. A. Rumynin, “Lie algebras in symmetric monoidal categories”, Siberian Math. J., 54:5 (2013), 905–921
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