کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4597570 1336222 2008 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Alexander–Hirschowitz theorem
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the Alexander–Hirschowitz theorem
چکیده انگلیسی

The Alexander–Hirschowitz theorem says that a general collection of kk double points in Pn imposes independent conditions on homogeneous polynomials of degree dd with a well-known list of exceptions. Alexander and Hirschowitz completed its proof in 1995, solving a long standing classical problem, connected with the Waring problem for polynomials. We expose a self-contained proof based mainly on the previous works by Terracini, Hirschowitz, Alexander and Chandler, with a few simplifications. We claim originality only in the case d=3d=3, where our proof is shorter. We end with an account of the history of the work on this problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 212, Issue 5, May 2008, Pages 1229–1251
نویسندگان
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