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- W3037076589 abstract "Abstract A central problem in liaison theory is to decide whether every arithmetically Cohen–Macaulay subscheme of projective $n$ -space can be linked by a finite number of arithmetically Gorenstein schemes to a complete intersection. We show that this can indeed be achieved if the given scheme is also generically Gorenstein and we allow the links to take place in an $(n+ 1)$ -dimensional projective space. For example, this result applies to all reduced arithmetically Cohen–Macaulay subschemes. We also show that every union of fat points in projective 3-space can be linked in the same space to a union of simple points in finitely many steps, and hence to a complete intersection in projective 4-space." @default.
- W3037076589 created "2020-07-02" @default.
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- W3037076589 date "2013-06-28" @default.
- W3037076589 modified "2023-09-30" @default.
- W3037076589 title "Glicci ideals" @default.
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- W3037076589 doi "https://doi.org/10.1112/s0010437x13007227" @default.
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