The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals

By A. Wiebe. 2003

58 citations recorded by the source corpus.

Abstract For standard graded Artinian K-algebras defined by componentwise linear ideals and Gotzmann ideals, we give conditions for the weak Lefschetz property in terms of numerical invariants of the defining ideals.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5b2e1c53acaf94b1bc15117be82702a09f4fe719

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Junzo Watanabe
2. T. Harima
3. Uwe Nagel
4. Rodrigo Gondim
5. Juan Migliore

In Discrete Mathematics and Combinatorics

1. Junzo Watanabe
2. T. Harima

In Geometry and Topology

1. Junzo Watanabe
2. T. Harima
3. Uwe Nagel
4. Rodrigo Gondim
5. Juan Migliore

Citations in the corpus

• The strong Lefschetz property for Artinian algebras with non-standard grading (2007, background): “[1], [ 10 ]). So far all algebras considered for the strong Lefschetz property have the standard grading.”