A DESCENT LEMMA

Authors
BEAUVILLE A LASZLO Y
Citation
A. Beauville et Y. Laszlo, A DESCENT LEMMA, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(3), 1995, pp. 335-340
Citations number
2
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
3
Year of publication
1995
Pages
335 - 340
Database
ISI
SICI code
0764-4442(1995)320:3<335:ADL>2.0.ZU;2-7
Abstract
Let A be a ring, f a nonzero divisor in A, ($) over cap A the completi on of A for the (f)-adic topology. We prove that the data of a vector bundle on Spec (A) is equivalent to the data of a vector bundle on the open subset f not equal 0 of Spec (A) and on Spec (($) over cap A), t ogether with an isomorphism of their pull back to the open subset f no t equal 0 of Spec (A).