Articles with "cohomology vector" as a keyword



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Cohomology of vector bundles and non-pluriharmonic loci

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Published in 2020 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-020-02634-1

Abstract: In this paper, we study cohomology groups of vector bundles on neighborhoods of a non-pluriharmonic locus in Stein manifolds and in projective manifolds. By using our results, we show variants of the Lefschetz hyperplane theorem. read more here.

Keywords: non pluriharmonic; vector bundles; bundles non; cohomology vector ... See more keywords
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Cohomology of the vector fields lie algebras on ℝℙ1 acting on bilinear differential operators

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Published in 2019 at "Studia Scientiarum Mathematicarum Hungarica"

DOI: 10.1556/012.2019.56.3.1433

Abstract: Let Vect (ℝℙ1) be the Lie algebra of smooth vector fields on ℝℙ1. In this paper, we classify -invariant linear differential operators from Vect (ℝℙ1) to vanishing on , where is the space of bilinear… read more here.

Keywords: cohomology vector; bilinear differential; vector fields; fields lie ... See more keywords