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Finite type and the effective Nullstellensatz

Gordon Heier
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Abstract

Improved local and global versions of the effective Nullstellensatz for ideal sheaves on non-singular complex varieties are obtained, based on a new invariant motivated by the notion of finite type from the theory of several complex variables. Two closely related curve selection theorems for curves with maximal adjusted tangency orders to a given ideal sheaf are established along the way, using normalized blow-ups and integral closures.

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Gordon Heier. 2006-03-28. Finite type and the effective Nullstellensatz. https://arxiv.org/abs/math/0603666

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