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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.