A local study of the fiber-full scheme

DOI10.1016/j.jalgebra.2023.08.039zbMath1527.14010arXiv2202.06652OpenAlexW4386505761MaRDI QIDQ6054769

Yairon Cid-Ruiz, Ritvik Ramkumar

Publication date: 25 October 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.06652

zbMATH Keywords

obstructionHilbert schemelocal cohomologytangent spaceGröbner degenerationfiber-full modules and sheavesfiber-full schemeone-parameter flat family

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Fine and coarse moduli spaces (14D22)

Related Items (1)

Multidegrees, prime ideals, and non-standard gradings

Cites Work

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• Le schéma de Hilbert des courbes gauches localement Cohen-Macaulay n'est (presque) jamais réduit
• The hilbert schemes of degree three curves
• Multigraded Hilbert schemes
• Monomial Ideals
• Deformations of log canonical and $F$-pure singularities
• Homogeneous Hilbert scheme

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