COHOMOLOGY OF THE TRACE FORMS COMPLEX

Authors
ELHAOUZI A
Citation
A. Elhaouzi, COHOMOLOGY OF THE TRACE FORMS COMPLEX, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(2), 1995, pp. 199-202
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
2
Year of publication
1995
Pages
199 - 202
Database
ISI
SICI code
0764-4442(1995)320:2<199:COTTFC>2.0.ZU;2-2
Abstract
Let U be a polydisc in C-n. Let X subset of U x C-p be apr analytic su bset of pure dimension n such that the projection pi : U x C-p --> U e xhibits X as an analytic branched covering of U. We show the exactness of the Dolbeault's complex trace(pi) A(X)(r,0) -->(partial derivative ) trace(pi) A(X)(r,1)...when the Sym(k)-discriminant of pi is normal c rossing.