Browsing by Author "Yger, A."
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Item Bounds for the Degrees in Polynomial Equations(1990) Berenstein, Carlos A.; Yger, A.; ISRConference delivered by Dr. C.A. Berenstein at the American Mathematics Society Summer Institute in Several Complex Variables, Santa Cruz, August 1989.Item Effective Bezout Identities in Q[z_1, ... , z_n].(1987) Berenstein, Carlos A.; Yger, A.; ISRIf p_1, ... , p_m are n-variate polynomials with integral coefficients and no common zeros in C^n, Brownawell has shown in 1986 that there exist q_1, ... , q_m polynomials with integral coefficients and {GREEK LETTER} {IS A MEMBER OF ^Z_+} such thatItem Green Currents and Analytic Continuation(1995) Berenstein, Carlos A.; Yger, A.; ISRUsing 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.Item Residue Calculus and Effective Nullstellensatz(1996) Berenstein, Carlos A.; Yger, A.; ISRWe 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 site that have almost optimal estimates for degree and size.Item Resudus, Courants residuels et Courants de Green(1994) Berenstein, Carlos A.; Gay, Roger; Yger, A.; ISRSome 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 some explicit solution for Green equation for algebraic complete intersections in the projective space.