Academic Journal
Cohen-Macaulay, Gorenstein and complete intersection conditions by marked bases
| Τίτλος: | Cohen-Macaulay, Gorenstein and complete intersection conditions by marked bases |
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| Συγγραφείς: | Bertone, Cristina, Cioffi, Francesca, Orth, Matthias, Seiler, Werner M. |
| Πηγή: | Journal of Algebra. 692:550-581 |
| Publication Status: | Preprint |
| Στοιχεία εκδότη: | Elsevier BV, 2026. |
| Έτος έκδοσης: | 2026 |
| Θεματικοί όροι: | IDEALS, Science & Technology, Gorenstein ideal, Commutative Algebra, Marked basis and schemeCohen-Macaulay idealGorenstein idealComplete intersectionHilbert scheme, General Mathematics, GENERICITY, 13C14, 13P10, 14J10, 14M05, 14Q15, 68W30, Hilbert scheme, Commutative Algebra (math.AC), 0101 Pure Mathematics, GROBNER BASES, DELTA-REGULARITY, Physical Sciences, 4904 Pure mathematics, FOS: Mathematics, 4902 Mathematical physics, Marked basis and scheme, Cohen-Macaulay ideal, Gorenstein ideal, complete intersection, Hilbert scheme, Complete intersection, Cohen-Macaulay ideal, Algebraic Geometry, Algebraic Geometry (math.AG), Mathematics, Marked basis and scheme, complete intersection |
| Περιγραφή: | Using techniques coming from the theory of marked bases, we develop new computational methods for detection and construction of Cohen-Macaulay, Gorenstein and complete intersection homogeneous polynomial ideals. Thanks to the functorial properties of marked bases, an elementary and effective proof of the openness of arithmetically Cohen-Macaulay, arithmetically Gorenstein and strict complete intersection loci in a Hilbert scheme follows, for a non-constant Hilbert polynomial. 29 pages, comments are welcome |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2025.11.034 |
| DOI: | 10.48550/arxiv.2410.17090 |
| Σύνδεσμος πρόσβασης: | http://arxiv.org/abs/2410.17090 https://hdl.handle.net/11588/1028317 |
| Rights: | CC BY arXiv Non-Exclusive Distribution |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....786a6c8e536f341f0d48fb9c3a67d05e |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 00218693 |
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| DOI: | 10.1016/j.jalgebra.2025.11.034 |