Bibliography

1

Brieskorn, E.: Die Monodromie der isolierten Singularitäten von Hyperflächen. Manuscr. Math. 2, 103-161 (1970).

2

Campillo, A.: Algebroid curves in positive characteristic. SLN 813, Springer-Verlag (1980).

3

Campillo, A.; Farrán, J.I.: Construction of AG codes from symbolic Hamburger-Noether expressions of plane curves. Preprint Univ. Valladolid (1998).

4

Corso A.; Huneke, C.; Vasconcelos, W.: On the integral closure of ideals. Manuscripta math. 95, 331-347 (1998).

5

Decker, W.; Greuel, G.-M.; de Jong, T.; Pfister, G.: The Normalization: a new Algorithm, Implementation and Comparisons. Progress in Mathematics 173, 177-185 (1999).

6

De Jong, T.: An algorithm for computing the integral closure. J. of Symbolic Computation 26, 273-277 (1998).

7

Della Dorca, J.; Dicrescenzo, C.; Duval, D.: About a new method for computing in algebraic number fields. EUROCAL 1985, LN in CS 204, 289-290 (1985).

8

Eisenbud D.; Huneke, C.; Vasconcelos, W.: Direct Methods for Primary Decomposition. Invent. Math. 110, 207-235 (1992).

9

Farrán, J.I.; Lossen, C.: brnoeth.lib. A SINGULAR 2.0 library for computing AG codes and Weierstraß semigroups (2001).

10

Gianni, P.; Trager, B.: Integral closure of Noetherian rings. Preprint, to appear.

11

Gianni, P.; Trager, B.; Zacharias, G.: Gröbner Bases and Primary Decomposition of Polynomial Ideals. J. Symbolic Computation 6, 149-167 (1988).

12

Grauert H.; Remmert, R.: Analytische Stellenalgebren. Springer. Berlin, Heidelberg, New York, 1971.

13

Greuel, G.-M.: Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving. To appear in: Proceedings of the 3ECM, Barcelona (2000).

14

Greuel, G.-M.: Computer Algebra and Algebraic Geometry - Achievements and Perspectives. J. Symbolic Computation 30,3, 253-290 (2000).

15

Greuel, G.-M.; Pfister, G.: A SINGULAR Introduction to Commutative Algebra. Book in preparation.

16

Greuel, G.-M.; Pfister, G.: normal.lib. A SINGULAR 2.0 library for computing the normalization of affine rings (2001).

17

Greuel, G.-M.; Pfister, G.; Schönemann, H.: SINGULAR 2.0. A Computer Algebra System for Polynomial Computations. Centre for Computer Algebra, University of Kaiserslautern (2001). http://www.singular.uni-kl.de.

18

Haché, G.: Construction effective des codes géométriques. Ph.D. Thesis, Univ. Paris 6 (1996).

19

Haché, G.; Le Brigand, D.: Effective Construction of Algebraic Geometry Codes. IEEE Trans. Inf. Theory 41, no. 6, 1615-1628 (1995).

20

Hertling, C.: Brieskorn lattices and Torelli type theorems for cubics in $\P^3$ and for Brieskorn-Pham singularities with coprime exponents. Progress in Math. 162, 167-194 (1998).

21

Hertling, C.: Variance of the spectral numbers. Preprint, math.CV/0007187 (2000).

22

Hirsch, T.: Die Berechnung des ganzen Abschlusses eines Ideals mit Hilfe seiner Rees-Algebra. Diplomarbeit, Univ. Kaiserslautern (2000).

23

Hirsch, T.: reesclos.lib. A SINGULAR 2.0 library for computing the integral closure of an ideal (2000).

24

Katz, N.M.: The regularity theorem in algebraic geometry. Actes Congrès intern. math. 1, 437-443 (1970).

25

Krick, T.; Logar, A.: An algorithm for the computation of the radical of an ideal in the ring of polynomials. AAECC 9, Springer LNCS 539, 195-205.

26

Lamm, M.: Hamburger-Noether-Entwicklung von Kurvensingularitäten. Diplomarbeit, Univ. Kaiserslautern (1999).

27

Lazard, D.: Solving Zero-dimensional Algebraic Systems. J. Symbolic Computation 13, 117-131 (1992).

28

Le Brigand, D.; Risler, J.J.: Algorithme de Brill-Noether et codes de Goppa. Bull. Soc. math. France 116, 231-253 (1988).

29

Malgrange, B.: Intégrales asymptotiques et monodromie. Ann. sci. Ec. Norm. Sup. 4, 405-430 (1974).

30

Milnor, J.: Singular Points on Complex Hypersurfaces. Princeton Univ. Press (1968).

31

Möller, H.M.: On decomposing systems of polynomial equations with finitely many solutions. Appl. Algebra Eng. Commun. Comput. 4, 217-230 (1993).

32

Pham, F.: Singularités des systèmes de Gauss-Manin. Birkhäuser (1979).

33

Pretzel, O.: Codes and Algebraic Curves. Clarendon, Oxford (1998).

34

Rybowicz, M.: Sur le calcul des places et des anneaux d'entiers d'un corps de fonctions algébriques. Thèse d'état, Univ. de Limoges (1990).

35

Schulze, M.: Computation of the monodromy of an isolated hypersurface singularity. Diplomarbeit, Univ. Kaiserslautern (1999).

36

Schulze, M.: gaussman.lib. A SINGULAR 2.0 library for computing the Gauß-Manin connection of isolated hypersurface singularities (2001).

37

Schulze, M.; Steenbrink, J.H.M.: Computing Hodge-thoretic invariants of singularities. To appear in: Proceedings of New Developments in Singularity Theory, Kluwer (2001).

38

Sebastiani, M.: Preuve d'une conjecture de Brieskorn. Manuscr. Math. 2, 301-308 (1970).

39

Stolzenberg, G.: Constructive normalization of an algebraic variety. Bull. AMS., 74, 595-599 (1968).

40

Tsfasman, M.A.; Vladut, S.G.: Algebraic-Geometric Codes. Kluwer Acad. Publ., Amsterdam (1991).

41

Tsfasman, M.A.; Vladut, S.G.; Zink, T.: Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound. Math. Nachr. 109, 21-28 (1982).

42

Van der Waerden, B.L.: Einführung in die algebraische Geometrie. Springer-Verlag (1973).

43

Vasconcelos, W.: Computing the integral closure of an affine domain. Proc. AMS 113 (3), 633-639 (1991).

44

Vasconcelos, W.: Arithmetic of blowup algebras. LMS Lecture Notes 195, Cambridge Univ. Press (1994).

45

Vasconcelos, W.: Computational Methods in Commutative Algebra and Algebraic Geometry. Springer-Verlag (1997).