کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8896497 1630419 2018 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Powers of generic ideals and the weak Lefschetz property for powers of some monomial complete intersections
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Powers of generic ideals and the weak Lefschetz property for powers of some monomial complete intersections
چکیده انگلیسی
Given an ideal I=(f1,…,fr) in C[x1,…,xn] generated by forms of degree d, and an integer k>1, how large can the ideal Ik be, i.e., how small can the Hilbert function of C[x1,…,xn]/Ik be? If r≤n the smallest Hilbert function is achieved by any complete intersection, but for r>n, the question is in general very hard to answer. We study the problem for r=n+1, where the result is known for k=1. We also study a closely related problem, the Weak Lefschetz property, for S/Ik, where I is the ideal generated by the d'th powers of the variables.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 495, 1 February 2018, Pages 1-14
نویسندگان
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