arXiv Analytics

Sign in

arXiv:1707.01767 [math.AG]AbstractReferencesReviewsResources

Proof of Grothendieck--Serre conjecture on principal bundles over regular local rings containing a finite field

Ivan Panin

Published 2017-07-05Version 1

Let R be a regular local ring, containing a finite field. Let G be a reductive group scheme over R. We prove that a principal G-bundle over R is trivial, if it is trivial over the fraction field of R. If the regular local ring R contains an infinite field this result is proved in [FP]. Thus the conjecture is true for regular local rings containing a field.

Comments: arXiv admin note: text overlap with arXiv:1406.0247
Categories: math.AG
Related articles: Most relevant | Search more
arXiv:1406.0247 [math.AG] (Published 2014-06-02)
Proof of Grothendieck--Serre conjecture on principal G-bundles over regular local rings containing a finite field
arXiv:0907.1136 [math.AG] (Published 2009-07-07)
On principal bundles over a projective variety defined over a finite field
arXiv:1109.2223 [math.AG] (Published 2011-09-10, updated 2014-04-11)
Singular curves over a finite field and with many points

Links

Toolbox