The degree-complexity of the defining ideal of a smooth integral curve
From MaRDI portal
Publication:932797
DOI10.1016/j.jsc.2007.07.008zbMath1154.13010OpenAlexW2049866608MaRDI QIDQ932797
Publication date: 11 July 2008
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jsc.2007.07.008
Analysis of algorithms and problem complexity (68Q25) Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects in algebraic geometry (14Qxx)
Related Items (3)
Generic initial ideals of singular curves in graded lexicographic order ⋮ The degree complexity of smooth surfaces of codimension ⋮ Sharp bounds for higher linear syzygies and classifications of projective varieties
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A criterion for detecting m-regularity
- Linear free resolutions and minimal multiplicity
- On a theorem of Castelnuovo, and the equations defining space curves
- A sharp Castelnuovo bound for smooth surfaces
- Castelnuovo's regularity and multiplicity
- Théorème de division et stabilité en géométrie analytique locale
- Syzygies of codimension 2 lattice ideals
- Generic projections, the equations defining projective varieties and Castelnuovo regularity
- Local differential geometry and generic projections of threefolds
- The complexity of the word problems for commutative semigroups and polynomial ideals
- Generic initial ideals of points and curves
- Characteristic-free bounds for the Castelnuovo–Mumford regularity
- Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties
- Castelnuovo-Mumford regularity bound for smooth threefolds in P5 and extremal examples
- The Geometry of Syzygies
- What can be computed in algebraic geometry?
- On the Castelnuovo-Mumford regularity of connected curves
This page was built for publication: The degree-complexity of the defining ideal of a smooth integral curve
