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Cohen-Macaulay, Gorenstein and Complete Intersection Conditions
by Marked Bases
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| Co-author(s): Cristina Bertone, Francesca Cioffi and Matthias Orth |
| Reference: Journal of Algebra, 692 (2026) 550-581 |
| Description: We extend techniques from involutive bases to marked bases for describing the
loci on Hilbert schemes corresponding to ideals which are Cohen-Macaulay,
Gorenstein or complete intersections. Our results are constructive and show as
simple corollaries the openess of these loci (also for non-constant Hilbert
polynomials). |
PDF File:  (524 kB)
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