کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904625 1633753 2018 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hankel determinantal rings have rational singularities
ترجمه فارسی عنوان
حلقه های تعیین کننده هانکل دارای خاصیت های منطقی هستند
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
Hankel determinantal rings, i.e., determinantal rings defined by minors of Hankel matrices of indeterminates, arise as homogeneous coordinate rings of higher order secant varieties of rational normal curves; they may also be viewed as linear specializations of generic determinantal rings. We prove that, over fields of characteristic zero, Hankel determinantal rings have rational singularities; in the case of positive prime characteristic, we prove that they are F-pure. Independent of the characteristic, we give a complete description of the divisor class groups of these rings, and show that each divisor class group element is the class of a maximal Cohen-Macaulay module.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 335, 7 September 2018, Pages 111-129
نویسندگان
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