کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596373 1336163 2015 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The algebraic density property for affine toric varieties
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The algebraic density property for affine toric varieties
چکیده انگلیسی

In this paper we generalize the algebraic density property to not necessarily smooth affine varieties relative to some closed subvariety containing the singular locus. This property implies the remarkable approximation results for holomorphic automorphisms of the Andersén–Lempert theory. We show that an affine toric variety X satisfies this algebraic density property relative to a closed T-invariant subvariety Y   if and only if X∖Y≠TX∖Y≠T. For toric surfaces we are able to classify those which possess a strong version of the algebraic density property (relative to the singular locus). The main ingredient in this classification is our proof of an equivariant version of Brunella's famous classification of complete algebraic vector fields in the affine plane.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 219, Issue 8, August 2015, Pages 3685–3700
نویسندگان
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