کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5771864 | 1630435 | 2017 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the characterizations of cofinite complexes over affine curves and hypersurfaces
ترجمه فارسی عنوان
در توصیف مجتمع های کوانتمی بیش از منحنی های افقی و ابررساناها
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
Let A be a homomorphic image of a Gorenstein ring of finite Krull dimension, J an ideal of A of dimension one, and N
- a bounded-below complex of A-modules. Suppose that A is complete with respect to a J-adic topology. In this paper, we prove that N
- is a J-cofinite complex if and only if Hi(N
- ) is a J-cofinite module for all i. The same result is also proved for principal ideals J. Consequently, for the fourth question given by R. Hartshorne (cf. [6, Fourth Question, p. 149]), we obtain an answer over the ring, on affine curves and hypersurfaces.
- a bounded-below complex of A-modules. Suppose that A is complete with respect to a J-adic topology. In this paper, we prove that N
- is a J-cofinite complex if and only if Hi(N
- ) is a J-cofinite module for all i. The same result is also proved for principal ideals J. Consequently, for the fourth question given by R. Hartshorne (cf. [6, Fourth Question, p. 149]), we obtain an answer over the ring, on affine curves and hypersurfaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 479, 1 June 2017, Pages 314-325
Journal: Journal of Algebra - Volume 479, 1 June 2017, Pages 314-325
نویسندگان
Ken-ichiroh Kawasaki,