On some generalizations of Jacobi's residue formula
Copyright policy )On some generalizations of Jacobi's residue formula
Using Bochner-Martinelli type residual currents we prove some generalizations of Jacobi's Residue Formula, which allow proper polynomial maps to have `common zeroes at infinity', in projective or toric situations.
35 pages
- University of Bordeaux France
- University of Cyprus Cyprus
- University of Bordeaux France
32A27 (Primary), 32A25, 32C30 (Secondary), Bézout identity, multidimensional residue, Bochner-Martinelli formula, Residues for several complex variables, compact complex variety, 32A27 (Primary); 32A25, 32C30 (Secondary), Cayley-Bacharach theorems, Nullstellensatz, Mathematics - Algebraic Geometry, Grothendieck residue, FOS: Mathematics, Complex Variables (math.CV), Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic Geometry (math.AG), Integration on analytic sets and spaces, currents, toric variety, Mathematics - Complex Variables, residual currents, Polynomial rings and ideals; rings of integer-valued polynomials, analytic continuation, Effectivity, complexity and computational aspects of algebraic geometry, Integral representations; canonical kernels (Szegő, Bergman, etc.)
32A27 (Primary), 32A25, 32C30 (Secondary), Bézout identity, multidimensional residue, Bochner-Martinelli formula, Residues for several complex variables, compact complex variety, 32A27 (Primary); 32A25, 32C30 (Secondary), Cayley-Bacharach theorems, Nullstellensatz, Mathematics - Algebraic Geometry, Grothendieck residue, FOS: Mathematics, Complex Variables (math.CV), Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic Geometry (math.AG), Integration on analytic sets and spaces, currents, toric variety, Mathematics - Complex Variables, residual currents, Polynomial rings and ideals; rings of integer-valued polynomials, analytic continuation, Effectivity, complexity and computational aspects of algebraic geometry, Integral representations; canonical kernels (Szegő, Bergman, etc.)
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