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Subjects
32-XX Several complex variables and analytic spaces
32Qxx Complex manifolds
32Q55 Topological aspects of complex manifolds

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On complete intersections

Franc Forstnerič (2001)

Annales de l’institut Fourier

We construct closed complex submanifolds of $ℂ^{n}$ which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of $ℂ^{n}$ .

On representation theory and the cohomology rings of irreducible compact hyperkähler manifolds of complex dimension four

Daniel Guan (2003)

Open Mathematics

In this paper, we continue the study of the possible cohomology rings of compact complex four dimensional irreducible hyperkähler manifolds. In particular, we prove that in the case b 2=7, b 3=0 or 8. The latter was achieved by the Beauville construction.

Currently displaying 1 – 2 of 2

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