Analytic residues along algebraic cycles

DOI10.1016/j.jco.2004.03.006zbMath1062.32001arXivmath/0111250OpenAlexW2139632590MaRDI QIDQ1763423

Alekos Vidras, Carlos. A. Berenstein, Alain Yger

Publication date: 22 February 2005

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111250

zbMATH Keywords

algebraic varietiesalgebraic cyclesdivision problemsmultidimensional residuesAbel-Jacobi formulaaffine Jacobi's residue theoremalgebraic intersectionrestricted residual currents

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Integration on analytic sets and spaces, currents (32C30) Residues for several complex variables (32A27)

Related Items (7)

Projective dynamics of homogeneous systems: local invariants, syzygies and the Global Residue Theorem ⋮ Residue calculus for c-holomorphic functions ⋮ On the duality theorem on an analytic variety ⋮ Sparse effective membership problems via residue currents ⋮ Residue currents associated with weakly holomorphic functions ⋮ Flexibility of analysis serving computational polynomial algebra or arithmetics ⋮ Bounds for multivariate residues and for the polynomials in the elimination theorem

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