Normal projective surfaces with ρ = 1 , P - 1 5

Marco Manetti

Rendiconti del Seminario Matematico della Università di Padova (1993)

  • Volume: 89, page 195-205
  • ISSN: 0041-8994

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Manetti, Marco. "Normal projective surfaces with $\rho = 1, P_{-1} \geqslant 5$." Rendiconti del Seminario Matematico della Università di Padova 89 (1993): 195-205. <http://eudml.org/doc/108286>.

@article{Manetti1993,
author = {Manetti, Marco},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {quotient singularities; normal projective surfaces; Picard number; rational singularities; degenerations of the projective plane},
language = {eng},
pages = {195-205},
publisher = {Seminario Matematico of the University of Padua},
title = {Normal projective surfaces with $\rho = 1, P_\{-1\} \geqslant 5$},
url = {http://eudml.org/doc/108286},
volume = {89},
year = {1993},
}

TY - JOUR
AU - Manetti, Marco
TI - Normal projective surfaces with $\rho = 1, P_{-1} \geqslant 5$
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1993
PB - Seminario Matematico of the University of Padua
VL - 89
SP - 195
EP - 205
LA - eng
KW - quotient singularities; normal projective surfaces; Picard number; rational singularities; degenerations of the projective plane
UR - http://eudml.org/doc/108286
ER -

References

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  1. [A1] M. Artin, Some numerical criteria for contractability of curves on algebraic surfaces, Amer. J. Math., 84 (1962), pp. 485-496. Zbl0105.14404MR146182
  2. [A2] M. Artin, On isolated rational singularities of surfaces, Amer. J. Math., 88 (1966), pp. 129-136. Zbl0142.18602MR199191
  3. [Ba1] L. Badescu, Normal projective degenerations of rational and ruled surfaces, J. Reine Angew. Math., 367 (1986), pp. 76-89. Zbl0604.14020MR839124
  4. [Ba2] L. Badescu, Local properties of the degenerations of rational surfaces, Rev. Roumaine Math. Pures Appl., 31 (1986), pp. 471-477. Zbl0617.14024MR856198
  5. [B-P-V] W. Barth - C. Peters - A. Van Der Ven, Compact Complex Surfaces, Springer-Verlag, Ergebnisse 4 (1984). Zbl0718.14023MR749574
  6. [Be] A. Beauville, Complex Algebraic Surfaces, London Math. Soc., LNS, 68 (1983). Zbl0512.14020MR732439
  7. [Ma] M. Manetti, Normal degeneration of the complex projective plane, J. Reine Angew. Math., 419 (1991), pp. 89-118. Zbl0719.14023MR1116920
  8. [Pi] H. Pinkham, Singularités rationnelles des surfaces (avec un appendice), Lectures Notes in Math., 777, Springer-Verlag (1980), pp. 147-178. Zbl0459.14009MR579026
  9. [Sa1] F. Sakai, The structure of normal surfaces, Duke Math. J., 52 (1985), pp. 627-648. Zbl0596.14025MR808096
  10. [Sa2] F. Sakai, Classification of normal surfaces, Proc. Symp. in Pure Math., 46, part 1 (1987) A.M.S., pp. 451-465. Zbl0636.14013MR927967
  11. [Wa] J. Wahl, Smoothings of normal surface singularities, Topology, 20 (1981), pp. 219-246. Zbl0484.14012MR608599

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