@article{CM_1994__94_1_51_0,
author = {Liu, Qing},
title = {Conducteur et discriminant minimal de courbes de genre 2},
journal = {Compositio Mathematica},
volume = {94},
year = {1994},
pages = {51-79},
mrnumber = {1302311},
zbl = {0837.14023},
language = {fr},
url = {http://dml.mathdoc.fr/item/CM_1994__94_1_51_0}
}
Liu, Qing. Conducteur et discriminant minimal de courbes de genre 2. Compositio Mathematica, Tome 94 (1994) pp. 51-79. http://gdmltest.u-ga.fr/item/CM_1994__94_1_51_0/
[Ar] : Some numerical criteria for contractibility of curves on algebraic surfaces, Am. J. Math. 84 (1962) 485-496. | MR 146182 | Zbl 0105.14404
[Ar-Wi] and : Degenerate fibres and stable reduction of curves, Topology 10 (1971) 373-383. | MR 476756 | Zbl 0196.24403
[B1] : De Rham cohomology and conductors of curves, Duke Math. J. 54 (1987) 295-308. | MR 899399 | Zbl 0632.14018
[B-L-R] , and : Néron Models, Ergeb. Math., 21, Springer-Verlag, 1990. | MR 1045822 | Zbl 0705.14001
[De-Mu] and : The irreducibility of the space of curves of given genus, Publ. Math. IHES 36 (1969) 75-109. | Numdam | MR 262240 | Zbl 0181.48803
[Do] : On the purity of the degeneration loci of families of curves, Invent. Math. 8 (1969) 34-54. | MR 263817 | Zbl 0176.18503
[EGA] and : Elements de Géométrie Algébrique, Publ. Math. IHES. | Numdam
[Ig] : Arithmetic variety of moduli for genus two, Ann. Math. 72 (1960) 612-649. | MR 114819 | Zbl 0122.39002
[La] : Introduction to Arakelov Theory, Springer-Verlag, 1988. | MR 969124 | Zbl 0667.14001
[Lip] : Rational singularities, Publ. Math. 36 (1969) 195-279. | Numdam | MR 276239 | Zbl 0181.48903
[Liu1] : Courbes stables de genre deux et leur schéma de modules, Math. Ann. 295 (1993) 201-222. | MR 1202389 | Zbl 0819.14010
[Liu2] : Modèles minimaux des courbes de genre deux, à paraître dans J. Reine Angew. Math. 453 (1994) | MR 1285783 | Zbl 0805.14013
[Loc] : On the discriminant of hyperelliptic curve, à paraître dans Trans. Amer. Math. Soc. (1994) | MR 1195511 | Zbl 0815.11031
[Na-Ue] and : The complete classification of fibers in pencils of curves of genus two, Manuscripta Math. 9 (1973) 143-186. | MR 369362 | Zbl 0263.14007
[Og1] : Elliptic curves and wild ramification. Am. J. Math. 89 (1967) 1-21. | MR 207694 | Zbl 0147.39803
[Og2] : On pencils of curves of genus two, Topology 5 (1966) 355-362. | MR 201437 | Zbl 0145.17802
[Ra] : Spécialisation du foncteur de Picard, Publ. Math. IHES 38 (1970) 27-76. | Numdam | MR 282993 | Zbl 0207.51602
[Sa1] : Conductor, discriminant, and the Noether formula of arithmetic surfaces, Duke Math. J. 57 (1988) 151-173. | MR 952229 | Zbl 0657.14017
[Sa2] : The discriminants of curves of genus 2, Comp. Math. 69 (1989) 229-240. | Numdam | MR 984635 | Zbl 0703.14021
[Se] : Facteurs locaux des fonctions zêta des variétés algébriques, Séminaire DPP 19 (1969-1970). | Numdam | Zbl 0214.48403
[Se-Ta] and : Good reduction of abelian varieties, Ann. Math. 88 (1968) 492-517. | MR 236190 | Zbl 0172.46101
[Ue] : 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. | MR 977781 | Zbl 0707.14025