Coherent Sheaves on Configuration Schemes

Coherent Sheaves on Configuration Schemes
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配置方案上的相干滑轮

DOI:
10.1006/jabr.2001.8866
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发表时间:
2000
期刊:
影响因子:
0.9
通讯作者:
V. Lunts
V. Lunts
中科院分区:
数学3区
文献类型:
--
作者:
V. Lunts

文献摘要

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摘要本文介绍并研究了将通常的配置格式沿闭嵌入沿着“粘合”而得到的配置格式。研究了位形概图上的凝聚层范畴。光滑构形格式提供了通常奇异格式的另一种“奇异性解决方案”。我们详细考虑的情况下,奇异计划是一个联盟的超平面在一个射影空间。
Abstract 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.