کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501315 | 1338406 | 2005 | 38 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Analytic residues along algebraic cycles
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let W be a q-dimensional irreducible algebraic subvariety in the affine space ACn, P1,â¦,Pmm elements in C[X1,â¦,Xn], and V(P) the set of common zeros of the Pj's in Cn. Assuming that |W| is not included in V(P), one can attach to P a family of nontrivial W-restricted residual currents in â²D0,k(Cn), 1⩽k⩽min(m,q), with support on |W|. These currents (constructed following an analytic approach) inherit most of the properties that are fulfilled in the case q=n. When the set |W|â©V(P) is discrete and m=q, we prove that for every point αâ|W|â©V(P) the W-restricted analytic residue of a (q,0)-form RdζI, RâC[X1,â¦,Xn], at the point α is the same as the residue on W (completion of W in ProjC[X0,â¦,Xn]) at the point α in the sense of Serre (q=1) or Kunz-Lipman (1
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Complexity - Volume 21, Issue 1, February 2005, Pages 5-42
Journal: Journal of Complexity - Volume 21, Issue 1, February 2005, Pages 5-42
نویسندگان
Carlos.A. Berenstein, Alekos Vidras, Alain Yger,