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Maltsiniotis, G.

Transversalité obtenue par éclatements permis. (French) Zbl 0472.14010

Bull. Soc. Math. Fr. 108, 365-400 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0472.14010

MSC:

14E05 Rational and birational maps
14E15 Global theory and resolution of singularities (algebro-geometric aspects)
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)

Keywords:

regular scheme; blowing up; coherent sheaves; divisor with normal crossings; birational morphism
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References:

[1] E.G.A.I., GROTHENDIECK (A.) et DIEUDONNÉ (J.) . - Éléments de Géométrie algébrique I , Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Band 166, Berlin Heidelberg New York, Springer-Verlag, 1971 . Zbl 0203.23301 · Zbl 0203.23301
[2] E.G.A. II, III, IV, GROTHENDIECK (A.) et DIEUDONNÉ (J.) . - Éléments de Géométrie algébrique II, III, IV (Publ. math. I.H.E.S., t. 8, 11, 17, 20, 24, 28, 32, 1961 - 1967 ). Numdam
[3] HIRONAKA (H.) . - Résolution of singularities of an algebraic variety over a field of characteristic zero , Ann. of math., t. 79, 1964 , p. 109-326. MR 33 #7333 | Zbl 0122.38603 · Zbl 0122.38603 · doi:10.2307/1970486
[4] HIRONAKA (H.) . - Bimeromorphic smoothing of a complex-analytic space (Summary) , Math. Inst., Warwick Univ., England, 1971 .
[5] HIRONAKA (H.) . - Flattening theorem in complex analytic geometry , Am. J. of Math., t. 97, 1975 , p. 503-547. MR 52 #14365 | Zbl 0307.32011 · Zbl 0307.32011 · doi:10.2307/2373721
[6] HIRONAKA (H.) . - Introduction to the theory of infinitely near singular points , Memorias de Matemàtica del Instituto Jorge Juan, 28; Consejo Superior de Investigaciones Cientìficas, Madrid, 1974 . MR 53 #3349 | Zbl 0366.32007 · Zbl 0366.32007
[7] HIRONAKA (H.) AROCA (J. M.) et VICENTE (J. L.) . - The theory of the maximal contact , Memorias de Matemàtica del Instituto Jorge Juan, 29; Consejo Superior de Investigaciones Cientìficas, Madrid, 1975 . MR 56 #3344 | Zbl 0366.32008 · Zbl 0366.32008
[8] AROCA (J. M.) , HIRONAKA (H.) et VICENTE (J. L.) . - Desingularization theorems , Memorias de Matemàtica del Instituto Jorge Juan, 30; Consejo Superior de Investigaciones Cientìficas, Madrid, 1977 . MR 80h:32027 | Zbl 0366.32009 · Zbl 0366.32009
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