The topology of normal singularities of an algebraic surface and a criterion for simplicity

David Mumford

Publications Mathématiques de l'IHÉS (1961)

  • Volume: 9, page 5-22
  • ISSN: 0073-8301

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Mumford, David. "The topology of normal singularities of an algebraic surface and a criterion for simplicity." Publications Mathématiques de l'IHÉS 9 (1961): 5-22. <http://eudml.org/doc/103827>.

@article{Mumford1961,
author = {Mumford, David},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {algebraic geometry},
language = {eng},
pages = {5-22},
publisher = {Institut des Hautes Études Scientifiques},
title = {The topology of normal singularities of an algebraic surface and a criterion for simplicity},
url = {http://eudml.org/doc/103827},
volume = {9},
year = {1961},
}

TY - JOUR
AU - Mumford, David
TI - The topology of normal singularities of an algebraic surface and a criterion for simplicity
JO - Publications Mathématiques de l'IHÉS
PY - 1961
PB - Institut des Hautes Études Scientifiques
VL - 9
SP - 5
EP - 22
LA - eng
KW - algebraic geometry
UR - http://eudml.org/doc/103827
ER -

References

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  14. [14] O. ZARISKI, On the Topology of Algebroid Singularities, Am. J. Math., 54, 1932. Zbl0004.36902JFM58.0614.02
  15. [15] O. ZARISKI, The Reduction of Singularities of an Algebraic Surface, Annals Math., 40, 1939. Zbl0021.25303MR1,26dJFM65.1399.03
  16. [16] O. ZARISKI, Foundations of a General Theory of Birational Correspondences, Trans. Am. Math. Soc., 53, 1943. Zbl0061.33004MR5,11b
  17. [17] O. ZARISKI, Theory and Applications of Holomorphic Functions on an Algebraic Variety of Arbitrary Characteristic, Memoirs of the Am. Math. Soc., 1951. Zbl0045.24001
  18. [18] O. ZARISKI, Introduction to the Problem of Minimal Models, J. Math. Soc. Japan, 1958. Zbl0093.33904
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Citations in EuDML Documents

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  1. Mariusz Koras, A characterization of 𝔸 2 / a
  2. Marcelo Morales, Une propriété asymptotique des puissances symboliques d'un idéal. Application à la théorie de l'intersection sur les surfaces normales
  3. Angelo Vistoli, Alexander duality in intersection theory
  4. Friedrich Hirzebruch, The topology of normal singularities of an algebraic surface
  5. Sandro Manfredini, A combinatorial approach to singularities of normal surfaces
  6. Alexander Grothendieck, Le groupe de Brauer : II. Théories cohomologiques
  7. Alexander Grothendieck, Technique de descente et théorèmes d'existence en géométrie algébrique. V. Les schémas de Picard : théorèmes d'existence
  8. Lê Dũng Tráng, Faisceaux constructibles quasi-unipotents
  9. Jean Giraud, Improvement of Grauert-Riemenschneider's theorem for a normal surface
  10. David Marín, Jean-François Mattei, Incompressibilité des feuilles de germes de feuilletages holomorphes singuliers

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