Castelnuovo–Mumford Regularity of Sums of Powers of Polynomial Ideals

DOI10.1080/00927870701724417zbMath1142.13017OpenAlexW2097607782MaRDI QIDQ5456527

Tran Nam Trung, Lê Tuân Hoa

Publication date: 8 April 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701724417

zbMATH Keywords

Newton polytopeCastelnuovo-Mumford regularitypowers of ideals

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Local cohomology and commutative rings (13D45)

Related Items (1)

Partial Castelnuovo–Mumford regularities of sums and intersections of powers of monomial ideals

Cites Work

• Unnamed Item
• Polyedres de Newton et nombres de Milnor
• The complexity of Frobenius powers of ideals
• On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals
• Borel-fixed ideals and reduction number.
• On the asymptotic linearity of Castelnuovo-Mumford regularity.
• Asymptotic linear bounds for the Castelnuovo-Mumford regularity
• Some Results on Normal Homogeneous Ideals
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Convex Analysis
• Computations with Frobenius Powers
• Positivity and complexity of ideal sheaves

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