Non-hyperelliptic fibrations of small genus and certain irregular canonical surfaces

Kazuhiro Konno

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1993)

  • Volume: 20, Issue: 4, page 575-595
  • ISSN: 0391-173X

How to cite

top

Konno, Kazuhiro. "Non-hyperelliptic fibrations of small genus and certain irregular canonical surfaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.4 (1993): 575-595. <http://eudml.org/doc/84161>.

@article{Konno1993,
author = {Konno, Kazuhiro},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {irregularity; canonical surface; nonhyperelliptic fibrations; linear system; fibration},
language = {eng},
number = {4},
pages = {575-595},
publisher = {Scuola normale superiore},
title = {Non-hyperelliptic fibrations of small genus and certain irregular canonical surfaces},
url = {http://eudml.org/doc/84161},
volume = {20},
year = {1993},
}

TY - JOUR
AU - Konno, Kazuhiro
TI - Non-hyperelliptic fibrations of small genus and certain irregular canonical surfaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1993
PB - Scuola normale superiore
VL - 20
IS - 4
SP - 575
EP - 595
LA - eng
KW - irregularity; canonical surface; nonhyperelliptic fibrations; linear system; fibration
UR - http://eudml.org/doc/84161
ER -

References

top
  1. [A] T. Ashikaga, A remark on the geography of surfaces with birational canonical morphisms. Math. Ann.290 (1991), 63-76. Zbl0744.14028MR1107663
  2. [AK] T. Ashikaga - K. Konno, Algebraic surfaces of general type with c21 = 3pg - 7. Tôhoku Math. J.42 (1990), 517-536. Zbl0735.14026MR1076174
  3. [B] A. Beauville, L'inégalité pg ≽ 2q - 4 pour les surfaces de type général. Bull. Soc. Math. France110 (1982), 343-346. Zbl0543.14026
  4. [BW] D. Burns - J. Wahl, Local contributions to global deformations of surfaces. Invent. Math.26 (1974), 67-88. Zbl0288.14010MR349675
  5. [C] Z. Chen, On the lower bound of the slope of a non-hyperelliptic fibration of genus 4. Preprint. Zbl0816.14006MR1228579
  6. [G] D. Gieseker, On a theorem of Bogomolov on Chern classes of stable bundles. Amer. J. Math.101 (1979), 77-85. Zbl0431.14005MR527826
  7. [F] T. Fujita, On Kähler fiber spaces over curves. J. Math. Soc. Japan30 (1978), 779-794. Zbl0393.14006MR513085
  8. [HN] G. Harder - M.S. Narashimhan, On the cohomology groups of moduli spaces of vector bundles on curves. Math. Ann.212 (1974), 215-248. Zbl0324.14006MR364254
  9. [H1] E. Horikawa, Algebraic surfaces of general type with small c21, V. J. Fac. Sci. Univ. Tokyo28 (1981), 745-755. Zbl0505.14028MR656051
  10. [H2] E. Horikawa, Notes on canonical surfaces. Tôhoku Math. J.43 (1991), 141-148. Zbl0748.14014MR1088721
  11. [H3] E. Horikawa, Certain degenerate fibres in pencils of curves of genus three. Preprint. 
  12. [K1] K. Konno, Algebraic surfaces of general type with c2 1 = 3pg - 6. Math. Ann.290 (1991), 77-107. Zbl0711.14021MR1107664
  13. [K2] K. Konno, A note on surfaces with pencils of non-hyperelliptic curves of genus 3. Osaka J. Math.28 (1991), 737-745. Zbl0766.14037MR1144482
  14. [K3] K. Konno, On certain even canonical surfaces. Tôhoku Math. J.44 (1992), 59-68. Zbl0792.14017MR1145722
  15. [K4] K. Konno, Even canonical surfaces with small K2, I. Nagoya Math. J.129 (1993), 115-146. Zbl0780.14020MR1210005
  16. [N] N. Nakayama, Zariski-decomposition problem for pseudo-effective divisors. In: Proceedings of the meeting and the workshop Algebraic Geometry and Hodge Theory, Vol. I, Hokkaido University Math. preprint series (1990). 
  17. [P] U. Persson, Chern invariants of surfaces of general type. Compositio Math.43 (1981), 3-58. Zbl0479.14018MR631426
  18. [R1] M. Reid, π1 for surfaces with small K2. Lecture Notes in Math. 732, Springer, 1979, 534-544. Zbl0423.14021
  19. [R2] M. Reid, Problems on pencils of small genus. Preprint (1990). 
  20. [X] G. Xiao, Fibred algebraic surfaces with low slope. Math. Ann.276 (1987), 449-466. Zbl0596.14028MR875340

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.