| Title:
|
Properties of a hypothetical exotic complex structure on $\Bbb C{\rm P}\sp 3$ (English) |
| Author:
|
Brown, J. R. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
132 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
59-74 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider almost-complex structures on $\mathbb{C}\text{P}^3$ 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. (English) |
| Keyword:
|
complex structure |
| Keyword:
|
projective space |
| Keyword:
|
Frölicher spectral sequence |
| Keyword:
|
Hodge numbers |
| MSC:
|
32J17 |
| MSC:
|
53C15 |
| MSC:
|
53C56 |
| MSC:
|
55T99 |
| MSC:
|
58A14 |
| MSC:
|
58J20 |
| idZBL:
|
Zbl 1174.53345 |
| idMR:
|
MR2311754 |
| DOI:
|
10.21136/MB.2007.133989 |
| . |
| Date available:
|
2009-09-24T22:29:17Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133989 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
