The elementary transformation of vector bundles on regular schemes

研究成果: Contribution to journalArticle査読

4 被引用数 (Scopus)

抄録

We give a generalized definition of an elementary transformation of vector bundles on regular schemes by using Maximal Cohen-Macaulay sheaves on divisors. This definition is a natural extension of that given by Maruyama, and has a connection with that given by Sumihiro. By this elementary transformation, we can construct, up to tensoring line bundles, all vector bundles from trivial bundles on nonsingular quasi-projective varieties over an algebraically closed field. Moreover, we give an application of this theory to reflexive sheaves.

本文言語英語
ページ(範囲)4285-4295
ページ数11
ジャーナルTransactions of the American Mathematical Society
359
9
DOI
出版ステータス出版済み - 2007
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)
  • 応用数学

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