An improved bound for the degree of smooth surfaces in 𝐏 4 not of general type

Michele Cook

Compositio Mathematica (1996)

  • Volume: 102, Issue: 2, page 141-145
  • ISSN: 0010-437X

How to cite

top

Cook, Michele. "An improved bound for the degree of smooth surfaces in $\mathbf {P}^4$ not of general type." Compositio Mathematica 102.2 (1996): 141-145. <http://eudml.org/doc/90450>.

@article{Cook1996,
author = {Cook, Michele},
journal = {Compositio Mathematica},
keywords = {number of components of the Hilbert scheme; bound for the degree of surfaces not of general type},
language = {eng},
number = {2},
pages = {141-145},
publisher = {Kluwer Academic Publishers},
title = {An improved bound for the degree of smooth surfaces in $\mathbf \{P\}^4$ not of general type},
url = {http://eudml.org/doc/90450},
volume = {102},
year = {1996},
}

TY - JOUR
AU - Cook, Michele
TI - An improved bound for the degree of smooth surfaces in $\mathbf {P}^4$ not of general type
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 102
IS - 2
SP - 141
EP - 145
LA - eng
KW - number of components of the Hilbert scheme; bound for the degree of surfaces not of general type
UR - http://eudml.org/doc/90450
ER -

References

top
  1. [BS] Bayer, D. and Stillman, M.: "A criterion for detecting m-regularity", Invent. Math.87 (1987) 1-11. Zbl0625.13003MR862710
  2. [BF] Braun, R. and Fløystad, G.: "A bound for the degree of smooth surfaces in P4 not of general type", Compositio Mathematica, Vol. 93, No. 2, September(I) 1994,211-229. Zbl0823.14021MR1287697
  3. [EP] Ellingsrud, G. and Peskine, C.: "Sur les surfaces lisses de P4", Invent. Math.95 (1989) 1-11. Zbl0676.14009MR969410
  4. [GLP] Gruson, L., Lazarsfeld, R. and Peskine, C.: "On a Theorem of Castelnuovo, and the equations defining space curves", Invent. Math.72 (1983) 491-506. Zbl0565.14014MR704401
  5. [GP] Gruson, L. and Peskine, C.: "Genres des courbes de 1'espace projectif ", Lecture Notes in Mathematics, Algebraic Geometry, TromsØ1977, 687 (1977) 31-59. Zbl0412.14011MR527229
  6. [H] Hartshorne, R.: Algebraic Geometry, Springer-Verlag (1977). Zbl0367.14001MR463157

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.