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Almost complex structures on four-dimensional complete intersections

Published online by Cambridge University Press:  17 April 2009

Howard Hiller
Howard Hiller
Affiliation:
Mathematiches InstitutUniversitat Gottingen D–4500 GottingenWest Germany and Department of MathematicsColumbia UniversityNew York, N.Y. 10027, U.S.A.
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Abstract

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Suppose X is a 4-dimensional complete intersection in CPr+4 of multidegree d1, …, dr. We show that X supports infinitely many almost complex structures for exactly 8 possible multi-degrees. In particular, a hypersurface of degree d in CP5 admits infinitely many almost complex structures if and only if d = 2 or 6. This generalizes a result of E. Thomas [4] for CP4. We give also some tables of possible Todd genera and a result for complex surfaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 1 , August 1984 , pp. 143 - 152
Copyright
Copyright © Australian Mathematical Society 1984

References

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