کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4595827 1336137 2016 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On Segre's bound for fat points in PnPn
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On Segre's bound for fat points in PnPn
چکیده انگلیسی

For a scheme of fat points Z   defined by the saturated ideal IZIZ, the regularity index computes the Castelnuovo–Mumford regularity of the Cohen–Macaulay ring R/IZR/IZ. For points in “general position” we improve the bound for the regularity index computed by Segre for P2P2 and generalised by Catalisano, Trung and Valla for PnPn. Moreover, we prove that the generalised Segre's bound conjectured by Fatabbi and Lorenzini holds for n+3n+3 arbitrary points in PnPn. We propose a modification of Segre's conjecture for arbitrary points and we discuss some evidences.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 220, Issue 6, June 2016, Pages 2307–2323
نویسندگان
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