Applications of some properties of the canonical module in computational projective algebraic geometry

zbMath0982.14034MaRDI QIDQ1569829

Marc Chardin

Publication date: 12 September 2001

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

algorithmsHilbert polynomialcanonical moduleliaisonCohen-Macaulay schemes

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Computational aspects in algebraic geometry (14Q99)

Related Items (7)

Regularity of lex-segment ideals: Some closed formulas and applications ⋮ Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ Regularity of prime ideals ⋮ Matrix representations for toric parametrizations ⋮ Cohomology of projective schemes: From annihilators to vanishing. ⋮ The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in \(\mathbb{P}^n\) ⋮ The canonical module of GT-varieties and the normal bundle of RL-varieties

Cites Work

• A criterion for detecting m-regularity
• Localization and primary decomposition of polynomial ideals
• On a theorem of Castelnuovo, and the equations defining space curves
• Gröbner bases and primary decomposition of polynomial ideals
• Direct methods for primary decomposition
• Liaison des variétés algébriques. I
• Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties
• Pathologies III
• Contracted ideals from integral extensions of regular rings
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