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Weierstrass points of the universal curve. (English) Zbl 0291.32028


MSC:

32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
14H99 Curves in algebraic geometry
57R45 Singularities of differentiable mappings in differential topology

References:

[1] Arbarello, E.: Weierstrass points and moduli of curves. Compositio Math.29, 325–342 (1974) · Zbl 0355.14013
[2] Duma, A.: Weierstraßpunkte und kanonische stetige Familien von Riemannscher Metriken auf regulären Familien kompakter Riemannscher Flächen. Math. Ann.210, 69–74 (1974) · doi:10.1007/BF01344546
[3] Farkas, H. M.: Special divisors and analytic subloci of the Teichmüller space. Amer. J. Math.88, 881–901 (1966) · Zbl 0154.33101 · doi:10.2307/2373086
[4] Grothendieck, A.: Exposés inSéminaire Cartan, 1960–1961. Secretariat mathematique, Paris
[5] Gunning, R.C.: Lectures on Riemann surfaces. Princeton, N.J.: University Press 1966 · Zbl 0175.36801
[6] Haure, M.: Recherches sur les points de Weierstraß d’une courbe plane algebrique. Annales scientifiques de l’Ecole Normale Superieure, Serie III, T.13, 115–196 (1896) · JFM 27.0468.02
[7] Lax, R.F.: On the dimension of varieties of special divisors. Trans. Amer. Math. Soc.203, 141–159 (1975) · Zbl 0332.32016 · doi:10.1090/S0002-9947-1975-0360602-8
[8] Mayer, A.: Rauch’s variational formula and the heat equation. Math. Ann.181, 53–59 (1969) · doi:10.1007/BF01351178
[9] Mount, K., Villamayor, O.: Weierstrass points as singularities of mappings. J. Alg.31, 343–353 (1974) · Zbl 0299.14014 · doi:10.1016/0021-8693(74)90073-8
[10] Ogawa, R.: On the points of Weierstrass in dimensions greater than one. Trans. Amer. Math. Soc.184, 401–417 (1973) · Zbl 0261.32004 · doi:10.1090/S0002-9947-1973-0325997-8
[11] Patt, C.: Variations of Teichmüller and Torelli surfaces. J. Analyse Math.11, 221–247 (1963) · Zbl 0115.06602 · doi:10.1007/BF02789986
[12] Pinkham, H.: Deformations of curves withG m action. Ph. D. dissertation. Harvard University 1974 · Zbl 0284.14009
[13] Rauch, H.E.: Weierstrass points, branch points, and moduli of Riemann surfaces. Comm. Pure Appl. Math.12, 543–560 (1959) · Zbl 0091.07301 · doi:10.1002/cpa.3160120310
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