中文

Coherent Sheaves on Configuration Schemes

代数几何 2007-05-23 v1

摘要

We introduce and study configuration schemes, which are obtained by ``glueing'' usual schemes along closed embeddings. The category of coherent sheaves on a configuration scheme is investigated. Smooth configuration schemes provide alternative ``resolutions of singularities'' of usual singular schemes. We consider in detail the case when the singular scheme is a union of hyperplanes in a projective space.

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引用

@article{arxiv.math/0012061,
  title  = {Coherent Sheaves on Configuration Schemes},
  author = {Valery A. Lunts},
  journal= {arXiv preprint arXiv:math/0012061},
  year   = {2007}
}

备注

27 pages latex