Buchsbaum homogeneous algebras with minimal multiplicity |
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Authors: | Shiro Goto Ken-ichi Yoshida |
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Affiliation: | aDepartment of Mathematics, School of Science and Technology, Meiji University, 214–8571, Japan bGraduate School of Mathematics, Nagoya University, Nagoya, 464–8602, Japan |
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Abstract: | In this paper we first give a lower bound on multiplicities for Buchsbaum homogeneous k-algebras A in terms of the dimension d, the codimension c, the initial degree q, and the length of the local cohomology modules of A. Next, we introduce the notion of Buchsbaum k-algebras with minimal multiplicity of degree q, and give several characterizations for those rings. In particular, we will show that those algebras have linear free resolutions. Further, we will give many examples of those algebras. |
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Keywords: | Primary, 13H10 secondary, 13H15 |
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