Conducteur et discriminant minimal de courbes de genre 2

Qing Liu

Compositio Mathematica (1994)

  • Volume: 94, Issue: 1, page 51-79
  • ISSN: 0010-437X

How to cite

top

Liu, Qing. "Conducteur et discriminant minimal de courbes de genre 2." Compositio Mathematica 94.1 (1994): 51-79. <http://eudml.org/doc/90329>.

@article{Liu1994,
author = {Liu, Qing},
journal = {Compositio Mathematica},
keywords = {minimal regular model; Artin conductor; Euler characteristic},
language = {fre},
number = {1},
pages = {51-79},
publisher = {Kluwer Academic Publishers},
title = {Conducteur et discriminant minimal de courbes de genre 2},
url = {http://eudml.org/doc/90329},
volume = {94},
year = {1994},
}

TY - JOUR
AU - Liu, Qing
TI - Conducteur et discriminant minimal de courbes de genre 2
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 94
IS - 1
SP - 51
EP - 79
LA - fre
KW - minimal regular model; Artin conductor; Euler characteristic
UR - http://eudml.org/doc/90329
ER -

References

top
  1. [Ar] M. Artin: Some numerical criteria for contractibility of curves on algebraic surfaces, Am. J. Math.84 (1962) 485-496. Zbl0105.14404MR146182
  2. [Ar-Wi] M. Artin and G. Winters: Degenerate fibres and stable reduction of curves, Topology10 (1971) 373-383. Zbl0196.24403MR476756
  3. [B1] S. Bloch: De Rham cohomology and conductors of curves, Duke Math. J.54 (1987) 295-308. Zbl0632.14018MR899399
  4. [B-L-R] S. Bosch, W. Lütkebohmert and M. Raynaud: Néron Models, Ergeb. Math., 21, Springer-Verlag, 1990. Zbl0705.14001MR1045822
  5. [De-Mu] P. Deligne and D. Mumford: The irreducibility of the space of curves of given genus, Publ. Math. IHES36 (1969) 75-109. Zbl0181.48803MR262240
  6. [Do] I. Dolgačev: On the purity of the degeneration loci of families of curves, Invent. Math.8 (1969) 34-54. Zbl0176.18503MR263817
  7. [EGA] A. Grothendieck and J. Dieudonné: Elements de Géométrie Algébrique, Publ. Math. IHES. 
  8. [Ig] J.I. Igusa: Arithmetic variety of moduli for genus two, Ann. Math.72 (1960) 612-649. Zbl0122.39002MR114819
  9. [La] S. Lang: Introduction to Arakelov Theory, Springer-Verlag, 1988. Zbl0667.14001MR969124
  10. [Lip] J. Lipman: Rational singularities, Publ. Math.36 (1969) 195-279. Zbl0181.48903MR276239
  11. [Liu1] Q. Liu: Courbes stables de genre deux et leur schéma de modules, Math. Ann.295 (1993) 201-222. Zbl0819.14010MR1202389
  12. [Liu2] Q. Liu: Modèles minimaux des courbes de genre deux, à paraître dans J. Reine Angew. Math.453 (1994) Zbl0805.14013MR1285783
  13. [Loc] P. Lockhart: On the discriminant of hyperelliptic curve, à paraître dans Trans. Amer. Math. Soc. (1994) Zbl0815.11031MR1195511
  14. [Na-Ue] Y. Namikawa and K. Ueno: The complete classification of fibers in pencils of curves of genus two, Manuscripta Math.9 (1973) 143-186. Zbl0263.14007MR369362
  15. [Og1] A.P. Ogg: Elliptic curves and wild ramification. Am. J. Math.89 (1967) 1-21. Zbl0147.39803MR207694
  16. [Og2] A.P. Ogg: On pencils of curves of genus two, Topology5 (1966) 355-362. Zbl0145.17802MR201437
  17. [Ra] M. Raynaud: Spécialisation du foncteur de Picard, Publ. Math. IHES38 (1970) 27-76. Zbl0207.51602MR282993
  18. [Sa1] T. Saito: Conductor, discriminant, and the Noether formula of arithmetic surfaces, Duke Math. J.57 (1988) 151-173. Zbl0657.14017MR952229
  19. [Sa2] T. Saito: The discriminants of curves of genus 2, Comp. Math.69 (1989) 229-240. Zbl0703.14021MR984635
  20. [Se] J.-P. Serre: Facteurs locaux des fonctions zêta des variétés algébriques, Séminaire DPP19 (1969-1970). Zbl0214.48403
  21. [Se-Ta] J.-P. Serre and J. Tate: Good reduction of abelian varieties, Ann. Math.88 (1968) 492-517. Zbl0172.46101MR236190
  22. [Ue] K. Ueno: Discriminants of curves of genus 2 and arithmetic surfaces, in Algebraic Geometry and Commutative Algebra, in honor of Masayaoshi Nagata. II. Kinokuniya, Tokyo (1987) pp. 749-770. Zbl0707.14025MR977781

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.