An Introduction to the Tangent Cone Algorithm
Teo Mora; Gerhard Pfister; Carlo Traverso
Publications mathématiques et informatique de Rennes (1989)
- Issue: 4, page 133-171
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topMora, Teo, Pfister, Gerhard, and Traverso, Carlo. "An Introduction to the Tangent Cone Algorithm." Publications mathématiques et informatique de Rennes (1989): 133-171. <http://eudml.org/doc/273938>.
@article{Mora1989,
author = {Mora, Teo, Pfister, Gerhard, Traverso, Carlo},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {4},
pages = {133-171},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {An Introduction to the Tangent Cone Algorithm},
url = {http://eudml.org/doc/273938},
year = {1989},
}
TY - JOUR
AU - Mora, Teo
AU - Pfister, Gerhard
AU - Traverso, Carlo
TI - An Introduction to the Tangent Cone Algorithm
JO - Publications mathématiques et informatique de Rennes
PY - 1989
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 4
SP - 133
EP - 171
LA - eng
UR - http://eudml.org/doc/273938
ER -
References
top- [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 Zbl0692.13011MR1008493
- [AMR] M.E. Alonso, T. Mora, M. Raimondo, Computing with algebraic series , Proc. ISSAC89, ACM (1989), 101-111
- [BAY] D. BayerThe division algorithm and the Hilbert scheme, Ph. D. Thesis, Harvard (1982) MR2632095
- [BEC1] T. Becker, Standard bases and some computations in rings of power series, J. Symb. Comp., to appear Zbl0709.13013MR1080671
- [BEC2] T. Becker, Stability and Buchbger criterion for standard bases in power series rings, Preprint. Univ.Passau (1989) Zbl0707.13008MR1075338
- [BUC1] B. Buchberger, Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal, Ph. D. Thesis, Innsbruck Univ. (1965) Zbl1245.13020
- [BUC2] B. Buchberger, Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems, Aeq. Math.4 (1970), 374-383 Zbl0212.06401MR268178
- [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 Zbl0417.68029MR575678
- [BUC4] B. Buchberger, Gröbner bases: an algorithmic method in polynomial ideal theory, in N.K. BOSE Recent trends in multidimensional systems theory, Reidel (1985) Zbl0587.13009
- [C-T] P. Conti, C. Traverso, Computing the conductor of an integral extension, Proc. AAECC 7, Disc. Appl. Math., to appear Zbl0755.13012MR1137740
- [GAL] A. Galligo, A propos du theoreme de preparation de Weierstrass, Lect. N. Math.409 (1974), 543-579 Zbl0297.32003MR402102
- [G-M] R. Gebauer, H.M. Möller, On an installation of Buchberger's algorithm, J. Symb. Comp.6 (1988), 141-152 Zbl0675.13013
- [HIR] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math.79 (1964), 109-326 Zbl0122.38603MR199184
- [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 Zbl0539.13002MR774807
- [L-P] I. Luengo, G. PfisterNormal forms and moduli spaces of curve singularities with semigroup , Preprint Univ.Compl.Madrid (1988) Zbl0725.14021MR1078865
- [M-M] H.M. Möller, F. Mora, New constructive methods in classical ideal theory, J. Alg.100 (1986), 138-178 Zbl0621.13007MR839576
- [MOR1] F. MoraAn algorithm to compute the equations of tangent cones, Proc. EUROCAM 82, Lect. N. Comp. Sci.144 (1982), 158-165 Zbl0568.68029MR680065
- [MOR2] F. Mora, A constructive characterization of standard bases, Boll. U.M.I. D2 (1983), 41-50 Zbl0619.13010MR771529
- [MOR3] F. Mora, An algorithmic approach to local rings, Proc. EUROCAL 85, Lect. N. Comp. Sci.204 (1985), 518-525 Zbl0582.13002MR826584
- [MOR4] T. Mora, La queste del saint Gra(AL): a computational approach to local algebra, Proc. AAECC 7, Disc. Appl. Math., to appear Zbl0752.13016MR1137744
- [P-S] G. Pfister, H. Schönemann, Singularities with exact Poincaré complex but not quasihomogeneous, Preprint 147, Humboldt Univ., Dept. Math. (1988) Zbl0708.14018MR1031692
- [ROB1] L. Robbiano, Term orderings on the polynomial ring, Proc. EUROCAL 85, Lect. N. Comp. Sci.204 (1985), 513-517 Zbl0584.13016MR826583
- [ROB2] L. Robbiano, On the theory of graded structures, J. Symb. Comp., 2 (1986), 139-170 Zbl0609.13007MR849048
- [T-D] C. Traverso, L. Donati, Experimenting the Gröbner basis algorithm with the AIPI system, Proc. ISSAC89, ACM (1989), 192-198
- [Z-S] O. Zariski, P. Samuel, Commutative Algebra, Van Nostrand (1958) Zbl0081.26501MR90581
- [ZIM] M. Zimnol, Beispiele Algebraischer Reduktionsstrukturen, Diplomarbeit, Univ.Kaiserslautern (1987)
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