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math.ACOct 21, 2006
27
citations (OpenAlex)
authors
  • Mircea Cimpoeas
arXiv abstractPDF
paper

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 n=3.

27 pages

References in corpus (1)

  • The strong Lefschetz property and simple extensions

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 k-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
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