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The Nash sheaf of a complete resolution

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Abstract:

Every three-dimensional complex algebraic variety with isolated singular point has a resolution factoring through the Nash blowup and the blowup of the maximal ideal over which the second Fitting ideal sheaf is locally principal. In such resolutions one can construct Hsiang–Pati coordinates and thus obtain generators for the Nash sheaf that are the differentials of monomial functions.

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Authors and Affiliations

  1. James Madison University, Department of Mathematics, 115 Burruss Hall,¶MSC 7803, Harrisonburg, VA 22801, USA.¶e-mail: taal@math.jmu.edu, , , , , , DE

    Laura Taalman

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  1. Laura Taalman
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Received: 9 April 2001 / Revised version: 26 July 2001

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Taalman, L. The Nash sheaf of a complete resolution. manuscripta math. 106, 249–270 (2001). https://doi.org/10.1007/s002290100206

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  • DOI: https://doi.org/10.1007/s002290100206

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