The Nash sheaf of a complete resolution |
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Authors: | Laura Taalman |
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Institution: | James Madison University, Department of Mathematics, 115 Burruss Hall,?MSC 7803, Harrisonburg, VA 22801, USA.?e-mail: taal@math.jmu.edu, DE
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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.
Received: 9 April 2001 / Revised version: 26 July 2001 |
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Keywords: | Mathematics Subject Classification (2000): |
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