1. Properties of a hypothetical exotic complex structure on CP3
- Creator:
- Brown, J. R
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- complex structure, projective space, Frölicher spectral sequence, and Hodge numbers
- Language:
- English
- Description:
- We consider almost-complex structures on ℂP 3 whose total Chern classes differ from that of the standard (integrable) almost-complex structure. E. Thomas established the existence of many such structures. We show that if there exists an ''exotic'' integrable almost-complex structures, then the resulting complex manifold would have specific Hodge numbers which do not vanish. We also give a necessary condition for the nondegeneration of the Frölicher spectral sequence at the second level.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public