| 王晶晶.S3× S3上复结构的 Frölicher 谱序列[J].数学年刊A辑,2020,41(1):001~16 |
| S3× S3上复结构的 Frölicher 谱序列 |
| The Frölicher Spectral Sequence Associated to Complex Structures on S3× S3 |
| Received:November 20, 2018 Revised:June 11, 2019 |
| DOI：10.16205/j.cnki.cama.2020.0001 |
| 中文关键词: Complex structure, Spectral sequence, Cohomology, Differential form |
| 英文关键词:Complex structure, Spectral sequence, Cohomology, Differential form |
| 基金项目: |
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| 中文摘要: |
| 研究了 $S^3\times S^3$ 上复结构的 Fr\"olicher 谱序列的维数和退化情况.
作为应用, 验证了其上 Calabi-Eckmann 复结构的 Fr\"olicher 谱序列在第2页退化. |
| 英文摘要: |
| In this paper, the author studies the dimensions and degeneration of
Fr\"olicher spectral sequence associated to any complex structure on
$S^3\times S^3$. As an application, the author verifies that the
Fr\"olicher spectral sequence of the Calabi-Eckmann complex
structure on $S^3\times S^3$ degenerates at the second page. |
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