Download Algorithms in Algebraic Geometry and Applications by M.-E. Alonso, E. Becker, M. F. Roy (auth.), Laureano PDF

By M.-E. Alonso, E. Becker, M. F. Roy (auth.), Laureano González-Vega, Tomás Recio (eds.)

The current quantity encompasses a choice of refereed papers from the MEGA-94 symposium held in Santander, Spain, in April 1994. They disguise contemporary advancements within the thought and perform of computation in algebraic geometry and current new purposes in technological know-how and engineering, quite machine imaginative and prescient and idea of robotics. the amount could be of curiosity to researchers operating within the parts of machine algebra and symbolic computation in addition to to mathematicians and computing device scientists drawn to getting access to those subject matters.

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Extra resources for Algorithms in Algebraic Geometry and Applications

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At most n - 1 normal form computations are necessary. After finding snch an integer C2, we next seek for C;o and at most n - 2 normal forlll computations are required. Thus, for finding C2, ... ,Cr. at most (1I~ l) + (1/- 2) + ... + (n - J + 1) normal form computations are required. After finding thE' first f~ part, the remaining part is determined by n - jJ norma] form cOlllPutations of Ai'S. Thus. to find sneh an clement g, at most (271 - { - 1)1/2 normal form computations are necessary. Thus.

SESSA. "The membership problem for unmixed polynomial ideals is solvable in single exponential time", Discrete Appl. Math. 33, pp. 73-94 (1991). M. ELKADI, "Bornes pour Ie degre et les hauteurs dans Ie probleme de division", to appear in Michigan Math . TournaI. [FG] N. FITCHAS and A. GALLIGO, "Nullstellensatz effectif et conjecture de Serre (Theorcme de Quillen-Suslin) pour Ie Caleul Forme]"" . l\Iath. Nachr, 149, pp. 231 253 (1990). [GPL] L. GRUSON. R. LAZARSFELD and C. PESKINE. "011 a theorem of Castelnuovo and the equations defining space curves".

D thesis, School of l'vlath. , University of Bath (1989). [2] Abott, J. , Bradford. R. , Davenport, J. " L. N. Compo Sci. 296, pp. 81-91 (1987). " Reidel Publ. , pp. 184 232 (1985). [4] Butler, G.. " L. N. Compo Sci. 559 (1991). [5] Chistov, A. , Grigoryev, D. Yu, Polynomial-time factoring of the multivariable polynomials oveT a global fi:eld, preprint, LOMI E-5-82, Lcningrad (1982). [6] Ford, D. , Computation of Galois groups from polynomials over the rationals, in "Computer Algebra," L. N. Purc Appl.

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