Analytic Residues along Algebraic Cycles

2001/11/23 by Carlos A. Berenstein, Berenstein, Carlos A., Alekos Vidras +3
Computer Science · Mathematics · #32A25 #32A27 #32C30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Complex Variables (math.CV) #FOS: Mathematics #Polynomial and algebraic computation #math.AG #math.CV #msc:32A25 #msc:32A27 #msc:32C30

paper · pdf · doi:10.48550/arxiv.math/0111250

arxiv created 2001/11/23 · openalex publication_date 2001/11/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a restricted version of some affine Jacobi's residue formula (on an affine algebraic variety) with applications to higher dimensional (and affine) analogues of Wood's (or Reiss's) relations about the interpolation of pieces of analytic manifolds. We also compare algebraic and analytic constructions of residue currents along analytic cycles and sketch some of their main properties. This work extend previous work of the authors in the affine space.

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