On the Cayley-Bacharach Property

DOI10.1080/00927872.2018.1476525zbMath1419.13046arXiv1804.09469OpenAlexW2963239917MaRDI QIDQ4634088

Lorenzo Robbiano, Martin Kreuzer, Le Ngoc Long

Publication date: 7 May 2019

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

Full work available at URL: https://arxiv.org/abs/1804.09469

zbMATH Keywords

zero-dimensional schemes

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Projective techniques in algebraic geometry (14N05)

Related Items (8)

Algorithms for checking zero-dimensional complete intersections ⋮ The K\"ahler Different of a Set of Points in $\mathbb{P}^m\times\mathbb{P}^n$ ⋮ The Kähler different of a 0-dimensional scheme ⋮ Geometry of points satisfying Cayley-Bacharach conditions and applications ⋮ An application of liaison theory to zero-dimensional schemes ⋮ The Dedekind different of a Cayley–Bacharach scheme ⋮ Computing subschemes of the border basis scheme ⋮ A Cayley–Bacharach theorem for points in Pn

Cites Work

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• Characterizations of zero-dimensional complete intersections
• Graded and filtered rings and modules
• On 0-dimensional complete intersections
• Computational Linear and Commutative Algebra
• Cayley-Bacharach Schemes and Their Canonical Modules
• Gorenstein Algebras and the Cayley-Bacharach Theorem
• On the Canonical Module of A 0-Dimensional Scheme
• Cayley-Bacharach theorems and conjectures
• Computing subschemes of the border basis scheme
• An Arithmetic Theory of Adjoint Plane Curves

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