Growth conditions for a family of ideals containing regular sequences |
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Authors: | Susan Marie Cooper |
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Institution: | Department of Mathematics, California Polytechnic State University, San Luis Obispo, CA 93407, United States |
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Abstract: | It has been conjectured by Eisenbud-Green-Harris that lex-plus-powers ideals exhibit extremal conditions among all homogeneous ideals containing a regular sequence of forms in fixed degrees. In the same spirit, we consider a family of homogeneous ideals in kx,y,z] which contain a regular sequence of forms F,G∈kx,y] and compare the growth of these ideals with special monomial ideals sharing similar properties. |
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Keywords: | 13C40 13D40 |
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