Resolution of quasi-homogeneous singularities and plurigenera

Marcel Morales

Compositio Mathematica (1987)

  • Volume: 64, Issue: 3, page 311-327
  • ISSN: 0010-437X

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Morales, Marcel. "Resolution of quasi-homogeneous singularities and plurigenera." Compositio Mathematica 64.3 (1987): 311-327. <http://eudml.org/doc/89878>.

@article{Morales1987,
author = {Morales, Marcel},
journal = {Compositio Mathematica},
keywords = {index of regularity; Hilbert function; plurigenera; number of integral points; Newton polyhedra; resolution; complete intersection singularity},
language = {eng},
number = {3},
pages = {311-327},
publisher = {Martinus Nijhoff Publishers},
title = {Resolution of quasi-homogeneous singularities and plurigenera},
url = {http://eudml.org/doc/89878},
volume = {64},
year = {1987},
}

TY - JOUR
AU - Morales, Marcel
TI - Resolution of quasi-homogeneous singularities and plurigenera
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 64
IS - 3
SP - 311
EP - 327
LA - eng
KW - index of regularity; Hilbert function; plurigenera; number of integral points; Newton polyhedra; resolution; complete intersection singularity
UR - http://eudml.org/doc/89878
ER -

References

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  1. 1 D. Burns: On rational singularities in dimension &gt; 2, Math. Ann.211 (1974) 237-244. Zbl0278.32009MR364672
  2. 2 M. Demazure: Anneaux gradués normaux, Séminaire sur les singularités de surfaces. Ecole Polytechnique, 1978- 1979. 
  3. 3 Laufer: On rational singularities, Amer. J. Math.94 (1972) 497-608. Zbl0251.32002MR330500
  4. 4 D. Luna: Adhérences d'orbites et invariants, Invent. Math., 29 (1975) 231-238. Zbl0315.14018MR376704
  5. 5 M. Merle and B. Teissier: Conditions d'adjonction, Séminaire Demazure-Pinkham-Teissier, Centre de Mathematiques de l'Ecole Polytechnique, 1976-1977. Lecture Notes in Math. 777, Springer, 1980. Zbl0415.00010MR579026
  6. 6 M. Morales: Calcul de quelques invariants de surface normale, dans Noeuds, tresses et singularités, Les Plans sur Bex, 1982. Monographie 31 de l'Enseignement Mathématique, Genève, 1983. Zbl0542.14001
  7. 7 M. Morales: Polyèdre de Newton et genre géométrique d'une singularité intersection complète, Bull. Soc. math. France, 112 (1984) 325-241. Zbl0564.32006MR794735
  8. 8 M. Morales: Fonction de Hilbert, genre géométrique d'une singularité quasi-homogène de Cohen-Macaulay, C.R.Acad. Sci. Paris Sér. I Math.14 (1985) 699-702. Zbl0598.14045MR818548
  9. 9 F. Sakai: Kodaira dimension of complements of divisors, Complex Analysis and Algebraic Geometry, a collection of papers dedicated to K. Kodaira. Tokyo, 1977. Zbl0375.14009MR590433
  10. 10 Kei-ichi Watanabe: Some remarks concerning Demazure's construction of normal graded rings, Nagoya Math. J.83 (1981) 203-211. Zbl0518.13003MR632654
  11. 11 S. Goto and Kei-ichi Watanabe: On graded rings I, J. Math. Soc. Japan30 no2, 1978. Zbl0371.13017
  12. 12 D. Lazard: Albèbre linéaire sur K[X1, ..., Xn] et élimination, Bull. Soc. Math. France105 (1977) 165-190. Zbl0447.13008MR491702
  13. 13 P. Schenzel: Uber die freien Auflösungen extremaler Cohen-Macaulay-Ringe, J. of Algebra64 (1980) 93-101. Zbl0449.13008MR575785

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