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Hilbert-Samuel polynomials of a proper morphism

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References

  1. Bănică, C.: Le complété formel d'un espace analytique le long d'un sous-espace: un théorème de comparaison. Manuscripta Math.6, 207–244 (1972)

    Google Scholar 

  2. Bănică, C., Brînzănescu, V.: Hilbert-Samuel polynomials of a complex of modules (to appear in Commun. Algebra)

  3. Bănică, C., Stănăşilă, O.: Metode algebrice in teoria globală a spaţiilor complexe. Bucureşti. Editura Academiei. 1974

    Google Scholar 

  4. Bennett, B.M.: On the characteristic functions of a local ring. Ann. of Math., II. Ser.91, 25–87 (1970)

    Google Scholar 

  5. Cartan, H.: Séminaire 13e année (1960–1961). Familles d'espaces complexes et fondements de la géométrie analytique. Fasc. 1 et 2. Paris. Secrétariat mathématique 1962

    Google Scholar 

  6. Forster, O.: Zur Theorie der Steinschen Algebren und Moduln. Math. Z.97, 376–405 (1967)

    Google Scholar 

  7. Forster, O., Knorr, K.: Ein Beweis des Grauertschen Bildgarbensatzes nach Ideen von B. Malgrange. Manuscripta Math.5, 19–44 (1971)

    Google Scholar 

  8. Forster, O., Knorr, K.: Relativ-analytische Räume und die Kohärenz von Bildgarben. Invent. Math.16, 113–160 (1972)

    Google Scholar 

  9. Frisch, J.: Points de platitude d'un morphisme d'espaces analytiques. Invent. Math.4, 118–138 (1967)

    Google Scholar 

  10. Grauert, H.: Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. Inst. haut. Etud. sci., Publ. Math.5 (1960)

  11. Grothendieck, A., Dieudonné, J.: Eléments de géométrie algébrique (EGA) III. Inst. haut. Étud. sci., Publ. Math.11, 17 (1961, 1963)

    Google Scholar 

  12. Houzel, C.: Espaces analytiques relatifs et théorème de finitude. Math. Ann.205, 13–54 (1973)

    Google Scholar 

  13. Kiehl, R.: Relativ analytische Räume. Invent. Math.16, 40–112 (1972)

    Google Scholar 

  14. Kiehl, R., Verdier, J.L.: Ein einfacher Beweis des Kohärenzsatzes von Grauert. Math. Ann.195, 24–50 (1971)

    Google Scholar 

  15. Kodaira, K., Spencer, D.C.: On deformations of complex-analytic structures, I, II, III. Ann. of Math., II. Ser.67, 328–466 (1958) and Ann. of Math., II. Ser.71, 43–75 (1960)

    Google Scholar 

  16. Lejeune-Jalabert, M., Teissier, B.: Quelques calcules utiles pour la résolution des singularités. Séminaire. Centre de Mathématiques de l'Ecole Polytechnique. Paris V. (1971)

    Google Scholar 

  17. Nagata, M.: Local Rings. Interscience Tracts in Pure and Applied Mathematics.13. New York-London: John Wiley & Sons. 1962

    Google Scholar 

  18. Schneider, M.: Halbstetigkeitssätze für relativ analytische Räume. Invent. Math.16, 161–176 (1972)

    Google Scholar 

  19. Séminaire de Géometrie Algébrique (SGA) no.6. Exposés I-III. I.H.E.S. (1966–1967)

  20. Serre, J.P.: Algèbre locale. Multiplicités. Lecture Notes in Mathematics. No. 11. Berlin-Heidelberg-New York: Springer 1965

    Google Scholar 

  21. Tougeron, J.C.: Idéaux de fonctions différentiables. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

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Authors and Affiliations

  1. Central Institute of Mathematics, Str. Academieí 14, Bucharest, Romania

    Constantin Bănică & Vasile Brînzănescu

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  1. Constantin Bănică
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  2. Vasile Brînzănescu
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Bănică, C., Brînzănescu, V. Hilbert-Samuel polynomials of a proper morphism. Math Z 158, 107–124 (1978). https://doi.org/10.1007/BF01320861

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