Corpus ID: 238857215

The resolution property holds away from codimension three

  title={The resolution property holds away from codimension three},
  author={Siddharth Mathur and Stefan Schroer},
The purpose of this paper is to verify a conjecture of Gross under mild hypothesis: all reduced, separated, and excellent schemes have the resolution property away from a closed subset of codimension ≥ 3. Our technique uses formal-local descent and the existence of affine flat neighborhoods to reduce the problem to constructing certain modules over commutative rings. Once in the category of modules we exhibit enough locally free sheaves directly, thereby establishing the resolution property for… Expand


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