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Symbolic squares in regular local rings

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Abstract.

In this paper we prove for several classes of ideals in regular local rings of equicharacteristic 0 that the symbolic square of the ideal contains no minimal generator of the ideal. Our techniques come from residual intersections, integral closures of ideals, and differentials.

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Authors and Affiliations

  1. Purdue University, Department of Mathematics, 1395 Math. Sciences Building, West Lafayette, IN 47907-1395, USA (e-mail: huneke@math.purdue.edu; Fax: +1-765-494-0548) , , , , , , US

    Craig Huneke & Juergen Ribbe

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  1. Craig Huneke
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  2. Juergen Ribbe
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Received January 14, 1997; in final form March 20, 1997

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Huneke, C., Ribbe, J. Symbolic squares in regular local rings. Math Z 229, 31–44 (1998). https://doi.org/10.1007/PL00004649

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  • DOI: https://doi.org/10.1007/PL00004649

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