Glicci ideals
2013 ◽
Vol 149
(9)
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pp. 1583-1591
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Keyword(s):
AbstractA 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.
2011 ◽
Vol 22
(04)
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pp. 515-534
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Keyword(s):
1952 ◽
Vol 48
(3)
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pp. 383-391
1968 ◽
Vol 303
(1474)
◽
pp. 381-396
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2004 ◽
Vol 56
(4)
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pp. 716-741
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Keyword(s):
2018 ◽
Vol 2020
(17)
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pp. 5450-5475
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