Titlebook: EUROSAM 84; International Sympos John Fitch Conference proceedings 1984 Springer-Verlag Berlin Heidelberg 1984 Computeralgebra.algebra.algo

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欺騙世家

厚顏

奇思怪想

Detecting torsion divisors on curves of genus 2,braic number field. Mainly, we show how to write the equation of the Kummer surface of the Jacobian of a curve of genus 2 in terms of the equation of the curve. This allows one to calculate a bound on the torsion which seems better than the bound derived from Riemann-Weil theory. Finally, we discuss

苦惱

acrobat

,On the complexity of the Gr?bner-bases algorithm over K[x,y,z],minates over the field K), constructs a so-called Gr?bner-basis for the ideal. The importance of Gr?bner-bases for effectively carrying out a large number of construction and decision problems in polynomial ideal theory has been investigated in /Bu65/, /Wi78/, /WB81/, /Bu83b/. For the case of two va

acrobat

,Algorithms for computing Gr?bner bases of polynomial ideals over various Euclidean rings,ch of these algorithms takes an ideal specified by a finite set of polynomials as its input; the result is another finite basis of the ideal which can be used to simplify polynomials such that every polynomial in the ideal simplifies to 0 and every polynomial in the polynomial ring simplifies to a u

EVADE

反應

Konzeptionelle Grundlagen der Arbeit,of polynomial ideals over a field. A general theorem exhibiting the uniqueness of a reduced Gr?bner basis of an ideal, determined by the ordering used on indeterminates and other conditions, is given.

EXPEL

Simplification of polynomials in n variables,l has a constant monomial and several monomials with only one factor..Further information about such simplifications are given in [3]. But all these simplifications are limited by the size of the integer program we have to solve.