Generic initial ideal for complete intersections of embedding dimension three with strong Lefschetz property
arXiv:math/0610649
Abstract
We compute the generic initial ideal of a complete intersection of embedding dimension three with strong Lefschetz property and we show that it is an almost reverse lexicographic ideal. This enable us to give a proof for Moreno's conjecture in the case .
27 pages
References in corpus (1)
Cited by in corpus (11)
- Sparse FGLM algorithms
- The initial ideal of generic sequences and Fröberg's Conjecture
- The Symbolic Generic Initial System of Points on an Irreducible Conic
- A note on the generic initial ideal for complete intersections
- Generic initial ideals, graded Betti numbers and -Lefschetz properties
- Conditions for Generic Initial Ideals to be Almost Reverse Lexicographic
- The Limiting Polytope of the Generic Initial System of a Complete Intersection
- Almost reverse lexicographic ideals and Fröberg sequence
- Contribution in combinatorics in commutative algebra.(ph-d thesis)
- Generic initial ideals of some monomial complete intersections in four variables
- The Generic Initial Ideals of Powers of a 2-Complete Intersection