Finite type and the effective Nullstellensatz

Details Finite type and the effective Nullstellensatz Finite type and the effective Nullstellensatz

2006-03-28

arxiv.org/abs/math/0603666v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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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