The degree complexity of smooth surfaces of codimension

DOI10.1016/j.jsc.2012.01.001zbMath1242.14053arXiv1008.0978OpenAlexW2962816808MaRDI QIDQ412225

Yeongseok Song, Sijong Kwak, Jeaman Ahn

Publication date: 4 May 2012

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

Full work available at URL: https://arxiv.org/abs/1008.0978

zbMATH Keywords

generic initial idealalgebraic surfaces of codimension 2degree complexitygraded lexicographic orderpartial elimination ideal

Mathematics Subject Classification ID

Computational aspects of higher-dimensional varieties (14Q15)

Related Items (4)

Generic initial ideals of singular curves in graded lexicographic order ⋮ The regularity of partial elimination ideals, Castelnuovo normality and syzygies ⋮ Sharp bounds for higher linear syzygies and classifications of projective varieties ⋮ On syzygies, degree, and geometric properties of projective schemes with property \(\mathbb{N}_{3, p}\)

Uses Software

• Macaulay2

Cites Work

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• A criterion for detecting m-regularity
• The degree-complexity of the defining ideal of a smooth integral curve
• A Castelnuovo bound for smooth surfaces
• The (dimension \(+2\))-secant lemma
• The multiple-point schemes of a finite curvilinear map of codimension one
• Generic initial ideals of points and curves
• Castelnuovo-Mumford regularity bound for smooth threefolds in P5 and extremal examples
• The Geometry of Syzygies
• What can be computed in algebraic geometry?

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