An Introduction to the Tangent Cone Algorithm
Publications de l'Institut de recherche mathématiques de Rennes, no. 4 (1989), pp. 133-171.
@article{PSMIR_1989___4_133_0,
     author = {Mora, Teo and Pfister, Gerhard and Traverso, Carlo},
     title = {An {Introduction} to the {Tangent} {Cone} {Algorithm}},
     journal = {Publications de l'Institut de recherche math\'ematiques de Rennes},
     pages = {133--171},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {4},
     year = {1989},
     language = {en},
     url = {http://www.numdam.org/item/PSMIR_1989___4_133_0/}
}
TY  - JOUR
AU  - Mora, Teo
AU  - Pfister, Gerhard
AU  - Traverso, Carlo
TI  - An Introduction to the Tangent Cone Algorithm
JO  - Publications de l'Institut de recherche mathématiques de Rennes
PY  - 1989
SP  - 133
EP  - 171
IS  - 4
PB  - Département de Mathématiques et Informatique, Université de Rennes
UR  - http://www.numdam.org/item/PSMIR_1989___4_133_0/
LA  - en
ID  - PSMIR_1989___4_133_0
ER  - 
%0 Journal Article
%A Mora, Teo
%A Pfister, Gerhard
%A Traverso, Carlo
%T An Introduction to the Tangent Cone Algorithm
%J Publications de l'Institut de recherche mathématiques de Rennes
%D 1989
%P 133-171
%N 4
%I Département de Mathématiques et Informatique, Université de Rennes
%U http://www.numdam.org/item/PSMIR_1989___4_133_0/
%G en
%F PSMIR_1989___4_133_0
Mora, Teo; Pfister, Gerhard; Traverso, Carlo. An Introduction to the Tangent Cone Algorithm. Publications de l'Institut de recherche mathématiques de Rennes, no. 4 (1989), pp. 133-171. http://www.numdam.org/item/PSMIR_1989___4_133_0/

[ALR] M.E. Alonso, I. Luengo, M. Raimondo, An Algorithm on Quasi-Ordinary Polynomials, Proc. AAECC 6, Lect. N. Comp. Sci. 357 (1989), 59-73 | MR | Zbl

[AMR] M.E. Alonso, T. Mora, M. Raimondo, Computing with algebraic series , Proc. ISSAC 89, ACM (1989), 101-111

[BAY] D. Bayer The division algorithm and the Hilbert scheme, Ph. D. Thesis, Harvard (1982) | MR

[BEC1] T. Becker, Standard bases and some computations in rings of power series, J. Symb. Comp., to appear | MR | Zbl

[BEC2] T. Becker, Stability and Buchbger criterion for standard bases in power series rings, Preprint. Univ.Passau (1989) | MR | Zbl

[BUC1] B. Buchberger, Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal, Ph. D. Thesis, Innsbruck Univ. (1965) | Zbl

[BUC2] B. Buchberger, Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems, Aeq. Math. 4 (1970), 374-383 | MR | Zbl

[BUC3] B. Buchberger, A criterion for detecting unnecessary reductions in the construction of Gröbner bases, Proc. EUROSAM 79, Lect. N. Comp. Sci. 72 (1979), 3-21 | MR | Zbl

[BUC4] B. Buchberger, Gröbner bases: an algorithmic method in polynomial ideal theory, in N.K. BOSE Recent trends in multidimensional systems theory, Reidel (1985) | Zbl

[C-T] P. Conti, C. Traverso, Computing the conductor of an integral extension, Proc. AAECC 7, Disc. Appl. Math., to appear | MR | Zbl

[GAL] A. Galligo, A propos du theoreme de preparation de Weierstrass, Lect. N. Math. 409 (1974), 543-579 | MR | Zbl

[G-M] R. Gebauer, H.M. Möller, On an installation of Buchberger's algorithm, J. Symb. Comp. 6 (1988), 141-152 | Zbl

[HIR] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math. 79 (1964), 109-326 | MR | Zbl

[LAZ] D. Lazard, Gröbner bases Gaussian elimination and resolution of systems of algebraic equations, Proc. EUROCAL 83, Lect. N. Comp. Sci. 162 (1983), 146-156 | MR | Zbl

[L-P] I. Luengo, G. Pfister Normal forms and moduli spaces of curve singularities with semigroup <2p,2q2pq+d>, Preprint Univ.Compl. Madrid (1988) | Numdam | MR | Zbl

[M-M] H.M. Möller, F. Mora, New constructive methods in classical ideal theory, J. Alg. 100 (1986), 138-178 | MR | Zbl

[MOR1] F. Mora An algorithm to compute the equations of tangent cones, Proc. EUROCAM 82, Lect. N. Comp. Sci. 144 (1982), 158-165 | MR | Zbl

[MOR2] F. Mora, A constructive characterization of standard bases, Boll. U.M.I. D 2 (1983), 41-50 | MR | Zbl

[MOR3] F. Mora, An algorithmic approach to local rings, Proc. EUROCAL 85, Lect. N. Comp. Sci. 204 (1985), 518-525 | MR | Zbl

[MOR4] T. Mora, La queste del saint Gra(AL): a computational approach to local algebra, Proc. AAECC 7, Disc. Appl. Math., to appear | MR | Zbl

[P-S] G. Pfister, H. Schönemann, Singularities with exact Poincaré complex but not quasihomogeneous, Preprint 147, Humboldt Univ., Dept. Math. (1988) | MR | Zbl

[ROB1] L. Robbiano, Term orderings on the polynomial ring, Proc. EUROCAL 85, Lect. N. Comp. Sci. 204 (1985), 513-517 | MR | Zbl

[ROB2] L. Robbiano, On the theory of graded structures, J. Symb. Comp., 2 (1986), 139-170 | MR | Zbl

[T-D] C. Traverso, L. Donati, Experimenting the Gröbner basis algorithm with the AIPI system, Proc. ISSAC 89, ACM (1989), 192-198

[Z-S] O. Zariski, P. Samuel, Commutative Algebra, Van Nostrand (1958) | MR | Zbl

[ZIM] M. Zimnol, Beispiele Algebraischer Reduktionsstrukturen, Diplomarbeit, Univ. Kaiserslautern (1987)