A tight bound on the projective dimension of four quadrics |
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| Authors: | Craig Huneke Paolo Mantero Jason McCullough Alexandra Seceleanu |
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| Affiliation: | 1. University of Virginia, Department of Mathematics, 141 Cabell Drive, Kerchof Hall, P.O. Box 400137, Charlottesville, VA 22904-4137, United States;2. Department of Mathematical Sciences, 309 SCEN – 1, University of Arkansas, Fayetteville, AR 72701, United States;3. Department of Mathematics, Iowa State University, Ames, IA 50011, United States;4. University of Nebraska, Department of Mathematics, 203 Avery Hall, Lincoln, NE 68588, United States |
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| Abstract: | ![]()
Motivated by Stillman's question, we show that the projective dimension of an ideal generated by four quadric forms in a polynomial ring is at most 6; moreover, this bound is tight. We achieve this bound, in part, by giving a characterization of the low degree generators of ideals primary to height three primes of multiplicities one and two. |
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| Keywords: | Primary 13D05 secondary 14M07 13C40 13D02 |
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