@article{PMIHES_1969__36__75_0, author = {Deligne, Pierre and Mumford, David}, title = {The irreducibility of the space of curves of given genus}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {75--109}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {36}, year = {1969}, mrnumber = {262240}, zbl = {0181.48803}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1969__36__75_0/} }
TY - JOUR AU - Deligne, Pierre AU - Mumford, David TI - The irreducibility of the space of curves of given genus JO - Publications Mathématiques de l'IHÉS PY - 1969 SP - 75 EP - 109 VL - 36 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1969__36__75_0/ LA - en ID - PMIHES_1969__36__75_0 ER -
%0 Journal Article %A Deligne, Pierre %A Mumford, David %T The irreducibility of the space of curves of given genus %J Publications Mathématiques de l'IHÉS %D 1969 %P 75-109 %V 36 %I Institut des Hautes Études Scientifiques %U http://archive.numdam.org/item/PMIHES_1969__36__75_0/ %G en %F PMIHES_1969__36__75_0
Deligne, Pierre; Mumford, David. The irreducibility of the space of curves of given genus. Publications Mathématiques de l'IHÉS, Volume 36 (1969), pp. 75-109. http://archive.numdam.org/item/PMIHES_1969__36__75_0/
[Ab] Resolution of singularities of arithmetical surfaces, Proc. Conf. on Arith. Alg. Geom. at Purdue. 1963. | Zbl
,[A1] The implicit function theorem in algebraic geometry, Proc. Colloq. Alg. Geom., Bombay, 1968. | Zbl
,[A2] Some numerical criteria for contractibility, Am. J. Math., 84 (1962), p. 485. | MR | Zbl
,[B] Thèse, Paris, 1966.
,[E] Teoria geometrica delle equazioni e delle funzioni algebriche, Bologna, 1918.
and ,[F] Hurwitz schemes and irreducibility of moduli of algebraic curves, Ann. of Math. (forthcoming). | Zbl
,[G] Cohomologie non abélienne, University of Columbia. | Zbl
,[Gr] Techniques de descente et théorèmes d'existence en géométrie algébrique, IV, Sem. Bourbaki, 221, 1960-1961. | Numdam | Zbl
,[H] Residues and Duality, Springer Lecture Notes, 20, 1966. | MR | Zbl
,[K] Algebraic spaces, Thesis, M.I.T., 1968. | Zbl
,[Li] Rational singularities, Publ. Math. I.H.E.S., n° 36 (1969). | Numdam | Zbl
,[L] Curves over discrete valuation rings, Am. J. Math., 90 (1968), p. 380. | MR | Zbl
,[Ma] Die Klassen von topologischen Abbildungen einer geschlossenen Fläche auf sich, Math. Zeit., 44 (1939), p. 541. | Zbl
,[M1] Geometric Invariant Theory, Springer-Verlag, 1965. | MR | Zbl
,[M2] Notes on seminar on moduli problems, Supplementary mimeographed notes printed at A.M.S. Woods Hole Summer Institute, 1964.
,[M3] Picard groups of moduli problems, Proc. Conf. on Arith. Alg. Geom. at Purdue, 1963. | Zbl
,[N] Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Math. I.H.E.S., n° 21. | Numdam | MR | Zbl
,[R] Spécialisation du foncteur de Picard, Comptes rendus Acad. Sci., 264, p. 941 and p. 1001. | MR | Zbl
,[Š] Lectures on minimal models, Tata Institute Lectures notes, Bombay, 1966.
,[Sc] Thesis, Harvard.
,[S] Rigidité du foncteur de Jacobi d'échelon n ≥ 3, app. à l'exposé 17 du séminaire Cartan 60/61. | Numdam
,[Se] Vorlesungen über algebraische Geometrie, Teubner, 1924. | JFM
and ,[W] Modules des surfaces de Riemann, Sém. Bourbaki, 168, 1957-1958. | Numdam | Zbl
,