at Google ScholarTitle data
Bauer, Ingrid ; Kosarew, Siegmund:
Some aspects of Hodge theory on non-complete algebraic manifolds.
In: Noguchi, Junjiro ; Ohsawa, Takeo
(ed.):
Prospects in complex geometry : proceedings. -
Berlin
: Springer
,
1991
. - pp. 281-316
. - (Lecture Notes in Mathematics
; 1468
)
ISBN 978-3-540-47370-1
DOI: https://doi.org/10.1007/BFb0086198
| Review: |
Abstract in another language
Let U be a smooth algebraic variety. The authors continue their study of the Dolbeault and de Rham cohomology groups on U which admits a compactification X of a certain type. The situation is divided into two cases, which correspond to the notion of concavity and convexity in complex analytic geometry. The first one is "Y:=X−U is of `high' codimension in X'' and the other is "Y is a divisor, X is smooth and the normal bundle NY/X satisfies a suitable positivity condition''. Their results contain finiteness theorems, Lefschetz type theorems, Hodge theory, and vanishing theorems of Akizuki-Nakano type. An interesting counterexample is also given. The paper is written in a survey style.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| Subject classification: | Mathematics Subject Classification Code: 32J25 (14C30 14F17 32C35 32L20) |
| 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 09:11 |
| Last Modified: | 14 Jun 2021 11:03 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/65855 |