Coherent Sheaves on Configuration Schemes

Details Coherent Sheaves on Configuration Schemes Coherent Sheaves on Configuration Schemes

2000-12-08

arxiv.org/abs/math/0012061v1

Mathematics

Algebraic Geometry

27 pages latex

Scientific paper

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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