Theorems of factorizations for birational morphisms

Teresa Sancho de Salas

Compositio Mathematica (1989)

  • Volume: 70, Issue: 3, page 275-291
  • ISSN: 0010-437X

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Sancho de Salas, Teresa. "Theorems of factorizations for birational morphisms." Compositio Mathematica 70.3 (1989): 275-291. <http://eudml.org/doc/89964>.

@article{SanchodeSalas1989,
author = {Sancho de Salas, Teresa},
journal = {Compositio Mathematica},
keywords = {factorization of birational morphisms between regular schemes by; blowing ups; factorization of birational morphisms between regular schemes by blowing ups},
language = {eng},
number = {3},
pages = {275-291},
publisher = {Kluwer Academic Publishers},
title = {Theorems of factorizations for birational morphisms},
url = {http://eudml.org/doc/89964},
volume = {70},
year = {1989},
}

TY - JOUR
AU - Sancho de Salas, Teresa
TI - Theorems of factorizations for birational morphisms
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 70
IS - 3
SP - 275
EP - 291
LA - eng
KW - factorization of birational morphisms between regular schemes by; blowing ups; factorization of birational morphisms between regular schemes by blowing ups
UR - http://eudml.org/doc/89964
ER -

References

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  1. 1 Oscar Zariski: Reduction of the singularities of algebraic three dimensional varieties. Annals of Math. Vol. 45, No. 3, July (1944). Zbl0063.08361MR11006
  2. 2 I.R. Shafarevich: Lectures on minimal models and birational transformations of two dimensional schemes. Tata Institute of Fundamental Research. Bombay (1966). Zbl0164.51704MR217068
  3. 3 D.L. Shannon: Monoidal transforms of regular local rings. Amer. Jour. of Math.95 (1973) 294-320. Zbl0271.14003MR330154
  4. 4 V.I. Danilov: Decomposition of certain birational morphisms. Math. USSR. Izvestija.16(2) (1981). Zbl0464.14003
  5. 5 B. Moishezon: Un n-dimensional compact complex varieties with its algebraically independent meromorphic functions. Amer. Math. Soc. Transl. Ser.2, 63 (1967). Zbl0186.26204
  6. 6 R. Hartshorne: Residues and duality. Lecture Notes in Mathematics20 (1966). Zbl0212.26101MR222093
  7. 7 J.B. Sancho de Salas: Semicontinuity for the local Hilbert function. Mathematische Zeitschrift.194 (1987) 217-225. Zbl0595.13014MR876231
  8. 8 R. Hartshorne: Algebraic Geometry. Graduate Texts in Mathematics52 (1977). Zbl0367.14001MR463157
  9. 9 T. Sancho de Salas: "Teoremas de factorización para morfismos birracionales". Tesis. Ediciones Vin. Salamanca (1985). 

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