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The arithmetic rank of the residual intersections of a complete intersection ideal

Batavia, Manav et al.
arXiv (OAI Expanded) · Papers
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algebraic-geometrycommutative-algebra
The arithmetic rank of an ideal in a polynomial ring over an algebraically closed field is the smallest number of equations needed to define its vanishing locus set-theoretically. We determine the arithmetic rank of the generic $m$-residual intersection of an ideal generated by $n$ indeterminates fo
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