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2011

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/96591

Monomial ideals, almost complete intersections and the Weak lefschetz Property

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Abstract

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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http://dx.doi.org/10.1090/S0002-9947-2010-05127-X

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Àlgebra, Geometria algebraica aritmètica, Àlgebra vectorial

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Algebra, Arithmetical algebraic geometry, Vector algebra

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Articles publicats en revistes (Matemàtiques i Informàtica)

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MIGLIORE, Juan C. (Juan Carlos), MIRÓ-ROIG, Rosa M. (Rosa Maria) and NAGEL, Uwe. Monomial ideals, almost complete intersections and the Weak lefschetz Property. Transactions of the American Mathematical Society. 2011. Vol. 363, num. 229-257. ISSN 0002-9947. [consulted: 8 of October of 2026]. Available at: https://hdl.handle.net/2445/96591

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