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Residue Calculus and Effective Nullstellensatz
We provide new tools to compute multidimensional residues for rational functions, even over fields of positive characteristic. As a corollary one obtains solutions of the Betout equation for polynomials over a ring with a ...
Resudus, Courants residuels et Courants de Green
Some explicit formulas are provided in order to solve division problems in commutative algebra or questions related to intersection theory; it is shown here how the ides of analytic continuation of distributions leads to ...
Green Currents and Analytic Continuation
Using the construction of residue currents via analytic continuation we give explicit formulas for green currents which have singularities along algebraic varieties in projective space, as long as they are complete intersections.