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Coherent Sheaves on Configuration Schemes

✍ Scribed by Valery A Lunts

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 194 KB
Volume: 244
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8866

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✦ Synopsis

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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