On Macaulayfication of sheaves |
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Authors: | Francesco Mordasini |
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Institution: | Institut für Mathematik, Universit?t Zürich, CH-8057 Zürich, Switzerland.?E-mail: mordsin@pacbell.net, CH
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Abstract: | Let X be a quasi-projective scheme and ℱ a coherent sheaf of modules over X such that its non-Cohen–Macaulay locus is at most one dimensional. We use and extend the techniques of Brodmann to construct
proper birational morphisms of quasi-projective schemes f:Y→X and Cohen–Macaulay coherent sheaves of modules over Y that are isomorphic to the pull-back of ℱ away from the exceptional locus of f. Certain blow-ups of X at locally complete intersections subschemes which contain non-reduced scheme structures on the non-Cohen–Macaulay locus
of ℱ are the main part of the construction.
Received: 19 February 1998 / Revised version: 28 December 1998 |
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Keywords: | Mathematics Subject Classification (1991): 14F05 |
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