CLˆOTURE INTÉGRALE DES IDÉAUX ETÉQUISINGULARITÉ
CLˆOTURE INTÉGRALE DES IDÉAUX ETÉQUISINGULARITÉ
CLˆOTURE INTÉGRALE DES IDÉAUX ETÉQUISINGULARITÉ
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
(1996), A.M.S., Providence<br />
[Hu-S] Craig Huneke, Irena Swanson, Integral closure of ideals, rings, and modules,<br />
London Mathematical Society Lecture Note Series, 336. Cambridge University<br />
Press, Cambridge, 2006.<br />
[H-I-O] Manfred Hermann, Shin Ikeda, Ulrich Orbanz, Equimultiplicity and blowing<br />
up, an algebraic study, with an appendix by Boudewin Moonen, Springer Verlag,<br />
1988.<br />
[H-L] G. Heier, Robert Lazarsfeld, Curve selection for finite type ideals, ArXiv:<br />
Math/CV0506557.<br />
[I 1] Shuzo Izumi, A measure of integrity for local analytic algebras, Publ. R.I.M.S.,<br />
Kyoto University, 21, 4(1985), 719–735.<br />
[I 2] S. Izumi, Gabrielov’s rank condition is equivalent to an inequality of reduced<br />
orders, Math. Annalen, 276 (1986), 81–87.<br />
[I 3] S. Izumi, Fundamental properties of germs of analytic mappings of analytic<br />
sets and related topics, Real and Complex singularities, Proceedings of the<br />
Australian-Japanese Workshop, University of Sidney 2005, L. Paunescu, A. Harris,<br />
T. Fukui, S. Koike, Editors. World Scientific, 2007, 109-123.<br />
[K] Steven L. Kleiman, Equisingularity, multiplicity, and dependance, Commutative<br />
algebra and algebraic geometry (Ferrara), 211-225, Lecture Notes in Pure and<br />
Applied Math., 206, Dekker, New York, 1999.<br />
[K-T] S. Kleiman, Anders Thorup, A geometric theory of the Buchsbaum-Rim<br />
multiplicity, J. Algebra, 167, (1) (1994), 168-231.<br />
[Kn] Allen Knutson, Balanced normal cones and Fulton-MacPherson’s intersection<br />
theory, Pure Appl. Math. Q. 2, no. 4 (2006), 1103–1130.<br />
[L] Robert Lazarsfeld, Positivity in algebraic geometry II, Ergebnisse der Mathematik<br />
vol. 49, Springer Verlag 2004.<br />
[Le] Andrzej Lenarcik, On the jacobian Newton polygon of plane curve singularities,<br />
Soumis.<br />
[M1] Marcelo Morales, Le polynôme de Hilbert-Samuel associé à la filtration par<br />
les clôtures intégrales des puissances de l’idéal maximal pour une courbe plane. C.<br />
R. Acad. Sci. Paris Sér. A-B 289 (1979), no. 6, A401–A404.<br />
[M2] M. Morales, Polynôme d’Hilbert-Samuel des clôtures intégrales des puissances<br />
d’un idéal m-primaire. Bull. Soc. Math. France 112 (1984), no. 3, 343–358.<br />
75