کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5778305 | 1633767 | 2017 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
D-modules, Bernstein-Sato polynomials and F-invariants of direct summands
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study the structure of D-modules over a ring R which is a direct summand of a polynomial or a power series ring S with coefficients over a field. We relate properties of D-modules over R to D-modules over S. We show that the localization Rf and the local cohomology module HIi(R) have finite length as D-modules over R. Furthermore, we show the existence of the Bernstein-Sato polynomial for elements in R. In positive characteristic, we use this relation between D-modules over R and S to show that the set of F-jumping numbers of an ideal IâR is contained in the set of F-jumping numbers of its extension in S. As a consequence, the F-jumping numbers of I in R form a discrete set of rational numbers. We also relate the Bernstein-Sato polynomial in R with the F-thresholds and the F-jumping numbers in R.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 321, 1 December 2017, Pages 298-325
Journal: Advances in Mathematics - Volume 321, 1 December 2017, Pages 298-325
نویسندگان
Josep Ãlvarez Montaner, Craig Huneke, Luis Núñez-Betancourt,