Analytic residues along algebraic cycles
| العنوان: | Analytic residues along algebraic cycles |
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| المؤلفون: | Berenstein, Carlos A., Vidras, Alekos, Yger, A. |
| المساهمون: | Department of Mathematics, University of Maryland, Department of Mathematics, University of Cyprus, Cyprus Ministry of Education, Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Vidras, Alekos [0000-0001-9917-8367] |
| المصدر: | J. Complexity J. Complexity, 2005, 21 (1), pp.5-42 Journal of Complexity J.Complexity |
| بيانات النشر: | Elsevier BV, 2005. |
| سنة النشر: | 2005 |
| مصطلحات موضوعية: | Differential equations, Statistics and Probability, Control and Optimization, Subvariety, General Mathematics, Integration, Poles and zeros, 32A25, 32A27, Polynomials, 01 natural sciences, Analytic residue, Combinatorics, Proj construction, Mathematics - Algebraic Geometry, 0103 physical sciences, FOS: Mathematics, Linear algebra, Complex Variables (math.CV), 0101 mathematics, Algebraic number, Algebraic Geometry (math.AG), ComputingMilieux_MISCELLANEOUS, Mathematics, Discrete mathematics, Common zeros, Numerical Analysis, Algebra and Number Theory, 32C30, Mathematics - Complex Variables, Applied Mathematics, 010102 general mathematics, Jacobi residue theorem, Algebraic variety, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], Jacobi's residue theorem, Residues, Computational complexity, Algebraic cycle, Algebraic varieties, Affine space, Set theory, 010307 mathematical physics, Affine transformation |
| الوصف: | Let W be a q-dimensional irreducible algebraic subvariety in the affine space A C n, P1,..., Pm m elements in C[X1,...,Xn], and V(P) the set of common zeros of the Pj's in C n. Assuming that W is not included in V(P), one can attach to P a family of nontrivial W-restricted residual currents in ′D0,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 ∩ V(P) is discrete and m=q, we prove that for every point α∈ W ∩ V(P) the W-restricted analytic residue of a (q,0)-form R dζ 1, R∈C[X1,...,Xn], at the point α is the same as the residue on W (completion of W in Proj C [X0,...,Xn]) at the point α in the sense of Serre (q = 1) or Kunz-Lipman (1Cited By :8 |
| تدمد: | 0885-064X |
| DOI: | 10.1016/j.jco.2004.03.006 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2aa737a4556aefb20b2684af4d961a08Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....2aa737a4556aefb20b2684af4d961a08 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 0885064X |
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| DOI: | 10.1016/j.jco.2004.03.006 |