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The Structure of Vector Bundles on Non-primary Hopf Manifolds.
- Source :
-
Chinese Annals of Mathematics . Dec2020, Vol. 41 Issue 6, p929-938. 10p. - Publication Year :
- 2020
-
Abstract
- Let X be a Hopf manifold with non-Abelian fundamental group and E be a holomorphic vector bundle over X, with trivial pull-back to ℂn − {0}. The authors show that there exists a line bundle L over X such that E ⊗ L has a nowhere vanishing section. It is proved that in case dim(X) ≥ 3, π*(E) is trivial if and only if E is filtrable by vector bundles. With the structure theorem, the authors get the cohomology dimension of holomorphic bundle E over X with trivial pull-back and the vanishing of Chern class of E. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CHERN classes
*NONABELIAN groups
*VECTOR bundles
Subjects
Details
- Language :
- English
- ISSN :
- 02529599
- Volume :
- 41
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Chinese Annals of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 146973871
- Full Text :
- https://doi.org/10.1007/s11401-020-0239-0