Vol. 90, No. 2, 1980

Recent Issues
Vol. 332: 1
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
On the degeneracy of a spectral sequence associated to normal crossings

Gerald Leonard Gordon

Vol. 90 (1980), No. 2, 389–396
Abstract

Let W be a complex analytic manifold and V a divisor with normal crossings, and consider the Leray spectral sequence associated to the inclusion map of W V into W. We give two homological reformulations for any of the drp,q to be the zero map for r 2. These conditions are shown to be satisfied if W is compact Kähler, but it is easy to give examples when it does not degenerate at E3 if W is only a differentiable manifold. The nondegeneracy at E3 for arbitrary V in a compact Kähler manifold is interpreted in terms of reiterated residues.

Mathematical Subject Classification 2000
Primary: 32C35
Secondary: 14C30
Milestones
Received: 10 July 1978
Published: 1 October 1980
Authors
Gerald Leonard Gordon