$E_1$-degeneration and $d'd'$-lemma
| Autor: | Chen, Tai-Wei, Ho, Chung-I, Teh, Jyh-Haur |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | For a double complex $(A, d', d'')$, we show that if it satisfies the $d'd''$-lemma and the spectral sequence $\{E^{p, q}_r\}$ induced by $A$ does not degenerate at $E_0$, then it degenerates at $E_1$. We apply this result to prove the degeneration at $E_1$ of a Hodge-de Rham spectral sequence on compact bi-generalized Hermitian manifolds that satisfy a version of $d'd''$-lemma. |
| Databáze: | arXiv |
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