Functional calculus on Noetherian schemes

Dosi A.

COMPTES RENDUS MATHEMATIQUE, vol.353, no.1, pp.57-61, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 353 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.1016/j.crma.2014.10.007
  • Journal Name: COMPTES RENDUS MATHEMATIQUE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.57-61
  • Middle East Technical University Affiliated: No

Abstract

The present note is devoted to the functional calculus problem for sections of a quasi-coherent sheaf on a Noetherian scheme. We prove scheme-theoretic analogs of the known results on the multivariable holomorphic functional calculus over Frechet modules which are mainly due to of J. Taylor and M. Putinar. The generalization of the Taylor joint spectrum considered in the paper leads to subvarieties of an algebraic variety over an algebraically closed field. In particular, every algebraic variety is represented as the joint spectrum of related coordinate multiplication operators. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.