The Elementary Transformation of Vector Bundles on Regular Schemes

@inproceedings{Abe2007TheET,
  title={The Elementary Transformation of Vector Bundles on Regular Schemes},
  author={Takuro Abe},
  year={2007}
}
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… CONTINUE READING

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