## Title data

Bauer, Ingrid ; Kosarew, Siegmund:

**On the Hodge spectral sequence for some classes of non-complete algebraic manifolds.**

*In:* Mathematische Annalen.
Vol. 284
(1989)
Issue 4
.
- pp. 577-593.

ISSN 1432-1807

DOI: https://doi.org/10.1007/BF01443352

Review: |

## Abstract in another language

Some of the significant results on complete algebraic varieties have natural extensions to noncomplete varieties. In this article the authors establish a beautiful method of extending Deligne-Illusie's theory on the algebraic proof of the E1-degeneration of the Hodge spectral sequence. Their main contribution seems to be in the step of transplanting the results for the positive characteristic case to those for C, which needs a rather delicate base change argument. It would be a matter of further interest whether M. Saito's theory of Hodge modules can be extended by the same method.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | manifold; spectral sequence; algebraic manifold |

Subject classification: | Mathematics Subject Classification Code: 14F40 (14F30 32C35 32F10) |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professor Algebraic Geometry > Professor Algebraic Geometry - Univ.-Prof. Dr. Ingrid Bauer Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professor Algebraic Geometry |

Result of work at the UBT: | No |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 14 Jun 2021 11:08 |

Last Modified: | 14 Jun 2021 11:08 |

URI: | https://eref.uni-bayreuth.de/id/eprint/65856 |