Geometric nullstellensatz and symbolic powers on arbitrary varieties
نویسندگان
چکیده
منابع مشابه
Tropical Varieties, Ideals and an Algebraic Nullstellensatz
The objective of this paper is to introduce the fundamental algebro-geometric constructions over the extended tropical semi-ring. The study of tropical varieties, co-varieties and ideals over this extension eventually yields the theorem of the weak tropical Nullstellensatz and gives an algebraic interpretation of the tropical Nullstellensatz.
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(1.1) G = A1F1 + · · ·+ AkFk where s is an integer ≥ 0. In the usual proofs of this result, one is not concerned with estimates about the degree of the Aj ’s and the exponent s. This question was considered by Brownawell [Br1] and later by N. Fitchas [Fi] and Kollár [K]. Kollár got the best estimates under the technical hypothesis deg Fj 6= 2 for j > 1. Namely it is possible to solve (1.1) with...
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In [HH7], developing arguments in [HH5], Hochster and Huneke used classical tight closure techniques to prove a fine behavior of symbolic powers of ideals in regular rings. In this paper, we use generalized test ideals, which are a characteristic p analogue of multiplier ideals, to give a generalization of Hochster-Huneke's results.
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2014
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-014-1011-0