Uniformisation de variétés de Jacobi et déformations de courbes
Jean Fresnel; Marius Van Der Put
Annales de la Faculté des sciences de Toulouse : Mathématiques (1994)
- Volume: 3, Issue: 3, page 363-386
- ISSN: 0240-2963
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topFresnel, Jean, and Van Der Put, Marius. "Uniformisation de variétés de Jacobi et déformations de courbes." Annales de la Faculté des sciences de Toulouse : Mathématiques 3.3 (1994): 363-386. <http://eudml.org/doc/73340>.
@article{Fresnel1994,
author = {Fresnel, Jean, Van Der Put, Marius},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {complete curve; complete valued field; uniformization of the Jacobian variety},
language = {fre},
number = {3},
pages = {363-386},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Uniformisation de variétés de Jacobi et déformations de courbes},
url = {http://eudml.org/doc/73340},
volume = {3},
year = {1994},
}
TY - JOUR
AU - Fresnel, Jean
AU - Van Der Put, Marius
TI - Uniformisation de variétés de Jacobi et déformations de courbes
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1994
PB - UNIVERSITE PAUL SABATIER
VL - 3
IS - 3
SP - 363
EP - 386
LA - fre
KW - complete curve; complete valued field; uniformization of the Jacobian variety
UR - http://eudml.org/doc/73340
ER -
References
top- [ACGH] Arbarello ( E.), Cornalba ( M.), Griffiths ( P.A.) et Harris ( J.) .— Geometry of algebraic curves (Volume I), Grundl. der Math. Wiss267, Springer Verlag1984. Zbl0559.14017MR770932
- [B1] Beauville ( A.) .— Prym varieties and the Schottky problem, Inventions math.41 (1977), pp. 149-196. Zbl0333.14013MR572974
- [B2] Beauville ( A.) .— Variétés de Prym et jacobiennes généralisées, Ann. Scient. Ec. Norm. Sup., 4ème série, 10 (1977), pp. 309-391. Zbl0368.14018MR472843
- [BLR] Bosch ( S.), Lütkebohmert ( W.) et Raynaud ( M.) .— Néron models, Springer Verlag1990. Zbl0705.14001MR1045822
- [BL] Bosch ( S.) et Lütkebohmert ( W.) .— Stable reduction and uniformization of Abelian varieties II, Inventiones math.78 (1984), pp. 258-297. Zbl0554.14015MR767194
- [DM] Deligne ( P.) et Mumford ( D.) . — The irreducibility of the space of curves of given genus, Publ. math. I.H.E.S.36 (1969), pp. 75-110. Zbl0181.48803MR262240
- [DS] Donagi ( R.) et Smith ( R.C.) .— The structure of the Prym map, Acta math.145 (1981), pp. 24-102. Zbl0538.14019MR594627
- [FC] Faltings ( G.) et Chai ( C.-L.) .— Degeneration of Abelian varieties, Springer Verlag (1990). Zbl0744.14031MR1083353
- [FP] Fresnel ( J.) et Van Der Put ( M.) .— Uniformisation des variétés abéliennes, Ann. Fac. Scien. Toulouse, Vol. 97 (1989) pp. 9-42. Zbl0711.14023MR1425749
- [G] Gieseker ( D.) .— Lectures on moduli of curves, Tate Institute of Fondamental Reseach., Springer Verlag (1982). Zbl0534.14012MR691308
- [Mi1] Milne ( J.L.) .— Abelian varieties, Arithmetic Geometry, Ed. G. Cornell, J. H. Silverman, Springer Verlag (1986). Zbl0604.14028MR861974
- [Mi2] Milne ( J.L.) .— Jacobian varieties, Arithmetic Geometry, Ed. G. Cornell, J. H. Silverman, Springer Verlag (1986). Zbl0604.14018MR861976
- [Mu1] Mumford ( D.) .— Abelian varieties, Tata Inst. of Fund. Reseach (1974). Zbl0326.14012MR282985
- [MF] Mumford ( D.) et Fogarty ( J.) .— Geometric invariant theory, Springer Verlag (1982). Zbl0504.14008MR719371
- [Mu2] Munford ( D.) .— Prym varieties I, Contributions to Analysis, Ed. Ahlfors, Kra, Maskit Niremberg Academic press (1974), pp. 325-350. Zbl0299.14018MR379510
- [O] Oort ( F.) . — Finite group schemes, local moduli for Abelian varieties and lifting problems, Comp. math.23, n° 3 (1971), pp. 265-296. Zbl0223.14024MR301026
- [OS] Oort ( F.) et Steenbrink ( J.) . — The local Torelli problem for algebraic curves, In Journ. Géom. Algébrique d'Angers 1979; Ed. A. Beauville, Sijthof & Nordhoff (1980), pp. 157-204. Zbl0444.14007
- [OU] Oort ( F.) et Ueno ( K.) .— Principally polarized Abelian varieties of dimension two or three are Jacobian varieties, J. Fac. Univ. Tokyo, Sect. 1 A20 (1973), pp. 377-381. Zbl0272.14008MR364265
- [R] Raynaud ( M.) . — variétés abéliennes et géométrie rigide, Actes, Congrès Intern. Math.1 (1970), pp. 473-477. Zbl0223.14021MR427326
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