Rational normal scrolls and the defining equations of Rees algebras
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Publication:3081156
DOI10.1515/CRELLE.2011.002zbMath1211.13005arXiv0812.4963OpenAlexW2963851829MaRDI QIDQ3081156
Bernd Ulrich, Claudia Polini, Andrew R. Kustin
Publication date: 11 March 2011
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.4963
Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Solving polynomial systems; resultants (13P15)
Related Items (31)
Rees algebras and almost linearly presented ideals ⋮ Strata of rational space curves ⋮ Rational plane curves parameterizable by conics ⋮ Regularity of prime ideals ⋮ Bounding the degrees of the defining equations of Rees rings for certain determinantal and Pfaffian ideals ⋮ The bi-graded structure of symmetric algebras with applications to Rees rings ⋮ Linearly presented perfect ideals of codimension 2 in three variables ⋮ A \(D\)-modules approach on the equations of the Rees algebra ⋮ Extremal Rees algebras ⋮ The regularity conjecture for prime ideals in polynomial rings ⋮ The equations defining blowup algebras of height three Gorenstein ideals ⋮ Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces ⋮ On Rees algebras of ideals and modules over hypersurface rings ⋮ Rees algebras of truncations of complete intersections ⋮ A study of nonlinear multiview varieties ⋮ Minimal generators of the defining ideal of the Rees algebra associated to monoid parameterizations ⋮ The equations of Rees algebras of height three Gorenstein ideals in hypersurface rings ⋮ Equations defining certain graphs ⋮ The depth of the Rees algebra of three general binary forms ⋮ Bounding the degrees of a minimal \(\mu\)-basis for a rational surface parametrization ⋮ The equations of almost complete intersections ⋮ Rees algebras of square-free monomial ideals ⋮ Divisors on rational normal scrolls ⋮ Blowup algebras of rational normal scrolls ⋮ A study of singularities on rational curves via syzygies ⋮ The Rees algebra of parametric curves via liftings ⋮ ON THE CONJECTURE OF VASCONCELOS FOR ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS ⋮ Defining Equations of Blowup Algebras ⋮ Counterexamples to the Eisenbud–Goto regularity conjecture ⋮ The Rees algebra of a monomial plane parametrization ⋮ Blow-up algebras of secant varieties of rational normal scrolls
Cites Work
- Unnamed Item
- Unnamed Item
- On the Rees algebra of certain codimension two perfect ideals
- Divisors on rational normal scrolls
- Properties of Noetherian rings stable under general grade reduction
- Corrigendum to ``Are Buchberger's criteria necessary for the chain condition? [J. Symbolic Comput. 42 (2007) 717-732]
- On the equations of the moving curve ideal of a rational algebraic plane curve
- On the closed image of a rational map and the implicitization problem.
- Cohen-Macaulay Rees algebras and degrees of polynomial relations
- Implicitizing rational hypersurfaces using approximation complexes
- The moving curve ideal and the Rees algebra
- Syzygies and the Rees algebra
- On the asymptotic linearity of Castelnuovo-Mumford regularity.
- Rees algebras of ideals with low codimension
- Asymptotic behaviour of Castelnuovo-Mumford regularity
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