2 9 A pr 2 00 2 EXISTENCE OF VECTOR BUNDLES AND GLOBAL RESOLUTIONS FOR SINGULAR SURFACES

@inproceedings{Schroer200229A,
  title={2 9 A pr 2 00 2 EXISTENCE OF VECTOR BUNDLES AND GLOBAL RESOLUTIONS FOR SINGULAR SURFACES},
  author={Stefan Schr¨oer and Gabriele Vezzosi},
  year={2002}
}
We prove two results about vector bundles on singular algebraic surfaces. First, on proper surfaces there are vector bundles of rank two with arbitrarily large second Chern number and fixed determinant. Second, on separated normal surfaces any coherent sheaf is the quotient of a vector bundle. As a consequence, for such surfaces the Quillen K-theory of… CONTINUE READING