Analytic residues along algebraic cycles
Copyright policy )Analytic residues along algebraic cycles
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.
- UNIVERSITE DE BORDEAUX France
- University of Bordeaux France
- Université de Bordeaux France
- UNIVERSITE DE BORDEAUX France
- Universite de Bordeaux France
Differential equations, Statistics and Probability, Abel-Jacobi formula, Control and Optimization, algebraic varieties, Integration, Poles and zeros, 32A25, Residues for several complex variables, 32A27, Polynomials, algebraic cycles, Analytic residue, Mathematics - Algebraic Geometry, algebraic intersection, restricted residual currents, FOS: Mathematics, Linear algebra, Complex Variables (math.CV), division problems, Algebraic Geometry (math.AG), Numerical Analysis, Algebra and Number Theory, Integration on analytic sets and spaces, currents, 32A27; 32A25;32C30, Mathematics - Complex Variables, multidimensional residues, Applied Mathematics, Jacobi residue theorem, Jacobi's residue theorem, Residues, 32C30, Computational complexity, Algebraic varieties, Integral representations; canonical kernels (Szegő, Bergman, etc.), Set theory, affine Jacobi's residue theorem
Differential equations, Statistics and Probability, Abel-Jacobi formula, Control and Optimization, algebraic varieties, Integration, Poles and zeros, 32A25, Residues for several complex variables, 32A27, Polynomials, algebraic cycles, Analytic residue, Mathematics - Algebraic Geometry, algebraic intersection, restricted residual currents, FOS: Mathematics, Linear algebra, Complex Variables (math.CV), division problems, Algebraic Geometry (math.AG), Numerical Analysis, Algebra and Number Theory, Integration on analytic sets and spaces, currents, 32A27; 32A25;32C30, Mathematics - Complex Variables, multidimensional residues, Applied Mathematics, Jacobi residue theorem, Jacobi's residue theorem, Residues, 32C30, Computational complexity, Algebraic varieties, Integral representations; canonical kernels (Szegő, Bergman, etc.), Set theory, affine Jacobi's residue theorem
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