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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
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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
Journal: Journal of Pure and Applied Algebra - Volume 212, Issue 5, May 2008, Pages 1229–1251
نویسندگان
Maria Chiara Brambilla, Giorgio Ottaviani,