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Lax, R. F.

On the dimension of varieties of special divisors. (English) Zbl 0332.32016

Trans. Am. Math. Soc. 203, 141-159 (1975).
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Cited in 1 Review
Cited in 10 Documents

MSC:

32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
14H15 Families, moduli of curves (analytic)
14C20 Divisors, linear systems, invertible sheaves
14H40 Jacobians, Prym varieties
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References:

[1] Aldo Andreotti, On a theorem of Torelli, Amer. J. Math. 80 (1958), 801 – 828. · Zbl 0084.17304 · doi:10.2307/2372835
[2] A. Andreotti and A. L. Mayer, On period relations for abelian integrals on algebraic curves, Ann. Scuola Norm. Sup. Pisa (3) 21 (1967), 189 – 238. · Zbl 0222.14024
[3] A. Brill and M. Noether, Über die algebraischen Funktionen und ihre Anwendung in der Geometrie, Math. Ann. 7 (1874).
[4] Hershel M. Farkas, Special divisors and analytic subloci of Teichmueller space, Amer. J. Math. 88 (1966), 881 – 901. · Zbl 0154.33101 · doi:10.2307/2373086
[5] Hans Grauert, Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen, Inst. Hautes Études Sci. Publ. Math. 5 (1960), 64 (German). · Zbl 0158.32901
[6] A. Grothendieck, Exposés in Séminaire Cartan, 1960/61, Secrétariat mathématique, Paris.
[7] R. C. Gunning, Lectures on Riemann surfaces, Jacobi varieties, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1972. Mathematical Notes, No. 12. · Zbl 0387.32008
[8] Birger Iversen, Linear determinants with applications to the Picard scheme of a family of algebraic curves, Lecture Notes in Mathematics, Vol. 174, Springer-Verlag, Berlin-New York, 1970. · Zbl 0236.14006
[9] G. Kempf, Schubert methods with an application to algebraic curves, Stichting Mathematisch Centrum, Amsterdam, 1971. · Zbl 0223.14018
[10] G. Kempf and D. Laksov, The determinantal formula of Schubert calculus, Acta Math. 132 (1974), 153 – 162. · Zbl 0295.14023 · doi:10.1007/BF02392111
[11] Steven L. Kleiman and Dan Laksov, On the existence of special divisors, Amer. J. Math. 94 (1972), 431 – 436. · Zbl 0251.14005 · doi:10.2307/2374630
[12] Steven L. Kleiman and Dan Laksov, Another proof of the existence of special divisors, Acta Math. 132 (1974), 163 – 176. · Zbl 0286.14005 · doi:10.1007/BF02392112
[13] Henrik H. Martens, On the varieties of special divisors on a curve, J. Reine Angew. Math. 227 (1967), 111 – 120. · Zbl 0172.46301 · doi:10.1515/crll.1967.227.111
[14] Henrik H. Martens, Varieties of special divisors on a curve. II, J. Reine Angew. Math. 233 (1968), 89 – 100. · Zbl 0221.14004 · doi:10.1515/crll.1968.233.89
[15] A. Mattuck and A. Mayer, The Riemann-Roch theorem for algebraic curves, Ann. Scuola Norm. Sup. Pisa (3) 17 (1963), 223 – 237. · Zbl 0118.15902
[16] Alan Mayer, Rauch’s variational formula and the heat equation, Math. Ann. 181 (1969), 53 – 59. · Zbl 0159.22403 · doi:10.1007/BF01351178
[17] Theodor Meis, Die minimale Blätterzahl der Konkretisierungen einer kompakten Riemannschen Fläche, Schr. Math. Inst. Univ. Münster No. 16 (1960), 61 (German). · Zbl 0093.07603
[18] Charles Patt, Variations of Teichmueller and Torelli surfaces, J. Analyse Math. 11 (1963), 221 – 247. · Zbl 0115.06602 · doi:10.1007/BF02789986
[19] H. E. Rauch, Weierstrass points, branch points, and moduli of Riemann surfaces, Comm. Pure Appl. Math. 12 (1959), 543 – 560. · Zbl 0091.07301 · doi:10.1002/cpa.3160120310
[20] Menahem Schiffer and Donald C. Spencer, Functionals of finite Riemann surfaces, Princeton University Press, Princeton, N. J., 1954. · Zbl 0059.06901
[21] Beniamino Segre, Sui moduli delle curve poligonali, e sopra un complemento al teorema di esistenza di Reimann, Math. Ann. 100 (1928), no. 1, 537 – 551 (Italian). · JFM 54.0685.01 · doi:10.1007/BF01448862
[22] F. Severi and E. Löffler, Vorlesungen über algebraischen Geometrie, Teubner, Leipzig, 1921.
[23] -, Sul teorema di esistenza di Riemann, Rend. Circ. Mat. Palermo 46 (1922).
[24] George Springer, Introduction to Riemann surfaces, Addison-Wesley Publishing Company, Inc., Reading, Mass., 1957. · Zbl 0078.06602
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