Monomial ideals, almost complete intersections and the Weak lefschetz Property
Many algebras are expected to have the Weak Lefschetz property, although this is often very difficult to establish. We illustrate the subtlety of the problem by studying monomial and some closely related ideals. Our results exemplify the intriguing dependence of the property on the characteristic of...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2011 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/96591 |
| Online Access: | https://hdl.handle.net/2445/96591 |
| Access Level: | Open access |
| Keyword: | Àlgebra Geometria algebraica aritmètica Àlgebra vectorial Algebra Arithmetical algebraic geometry Vector algebra |
| Summary: | Many algebras are expected to have the Weak Lefschetz property, although this is often very difficult to establish. We illustrate the subtlety of the problem by studying monomial and some closely related ideals. Our results exemplify the intriguing dependence of the property on the characteristic of the ground field and on arithmetic properties of the exponent vectors of the monomials. |
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