کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8897645 1630747 2018 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Green's theorem and Gorenstein sequences
ترجمه فارسی عنوان
قضیه گرین و توالی گرنشتاین
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
We study consequences, for a standard graded algebra, of extremal behavior in Green's Hyperplane Restriction Theorem. First, we extend his Theorem 4 from the case of a plane curve to the case of a hypersurface in a linear space. Second, assuming a certain Lefschetz condition, we give a connection to extremal behavior in Macaulay's theorem. We apply these results to show that (1,19,17,19,1) is not a Gorenstein sequence, and as a result we classify the sequences of the form (1,a,a−2,a,1) that are Gorenstein sequences.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 2, February 2018, Pages 387-413
نویسندگان
, , ,