The irreducibility of the space of curves of given genus
Publications Mathématiques de l'IHÉS, Tome 36 (1969), pp. 75-109.
@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://www.numdam.org/item/PMIHES_1969__36__75_0/}
}
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Deligne, Pierre; Mumford, David. The irreducibility of the space of curves of given genus. Publications Mathématiques de l'IHÉS, Tome 36 (1969), pp. 75-109. http://www.numdam.org/item/PMIHES_1969__36__75_0/

[Ab] S. Abhyankar, Resolution of singularities of arithmetical surfaces, Proc. Conf. on Arith. Alg. Geom. at Purdue. 1963. | Zbl

[A1] M. Artin, The implicit function theorem in algebraic geometry, Proc. Colloq. Alg. Geom., Bombay, 1968. | Zbl

[A2] M. Artin, Some numerical criteria for contractibility, Am. J. Math., 84 (1962), p. 485. | MR | Zbl

[B] J. Benabou, Thèse, Paris, 1966.

[E] F. Enriques and Chisini, Teoria geometrica delle equazioni e delle funzioni algebriche, Bologna, 1918.

[F] W. Fulton, Hurwitz schemes and irreducibility of moduli of algebraic curves, Ann. of Math. (forthcoming). | Zbl

[G] J. Giraud, Cohomologie non abélienne, University of Columbia. | Zbl

[Gr] A. Grothendieck, Techniques de descente et théorèmes d'existence en géométrie algébrique, IV, Sem. Bourbaki, 221, 1960-1961. | Numdam | Zbl

[H] R. Hartshorne, Residues and Duality, Springer Lecture Notes, 20, 1966. | MR | Zbl

[K] D. Knutson, Algebraic spaces, Thesis, M.I.T., 1968. | Zbl

[Li] J. Lipman, Rational singularities, Publ. Math. I.H.E.S., n° 36 (1969). | Numdam | Zbl

[L] M. Lichtenbaum, Curves over discrete valuation rings, Am. J. Math., 90 (1968), p. 380. | MR | Zbl

[Ma] W. Manger, Die Klassen von topologischen Abbildungen einer geschlossenen Fläche auf sich, Math. Zeit., 44 (1939), p. 541. | Zbl

[M1] D. Mumford, Geometric Invariant Theory, Springer-Verlag, 1965. | MR | Zbl

[M2] D. Mumford, Notes on seminar on moduli problems, Supplementary mimeographed notes printed at A.M.S. Woods Hole Summer Institute, 1964.

[M3] D. Mumford, Picard groups of moduli problems, Proc. Conf. on Arith. Alg. Geom. at Purdue, 1963. | Zbl

[N] A. Néron, Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Math. I.H.E.S., n° 21. | Numdam | MR | Zbl

[R] M. Raynaud, Spécialisation du foncteur de Picard, Comptes rendus Acad. Sci., 264, p. 941 and p. 1001. | MR | Zbl

[Š] I. Šafarevich, Lectures on minimal models, Tata Institute Lectures notes, Bombay, 1966.

[Sc] M. Schlessinger, Thesis, Harvard.

[S] J.-P. Serre, Rigidité du foncteur de Jacobi d'échelon n ≥ 3, app. à l'exposé 17 du séminaire Cartan 60/61. | Numdam

[Se] F. Severi and Löffler, Vorlesungen über algebraische Geometrie, Teubner, 1924. | JFM

[W] A. Weil, Modules des surfaces de Riemann, Sém. Bourbaki, 168, 1957-1958. | Numdam | Zbl