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Book Review
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Book Information
Author(s):
Makoto Namba
Title:
Families of meromorphic functions on compact Riemann surfaces
Additional book information:
Lecture Notes in Math., vol. 767, Springer-Verlag, Berlin and New York, 1979, xii + 284 pp., $16.30
References:
- 1.
- E. Arbarello, Weierstrass points and moduli of curves, Compositio Math. 29 (1974), 325-342. MR 360601
- 2.
- A. Brill and M. Noether, Ueber die algebraischen Funktionen und ihre Anwendungen in der Geometrie, Math. Ann. 7 (1874), 269-310.
- 3.
- C. J. Earle, Families of Riemann surfaces and Jacobi varieties, Ann. of Math. (2) 107 (1978), 255-286. MR 499328
- 4.
- H. Farkas, Special divisors on compact Riemann surfaces, Proc. Amer. Math. Soc. 19 (1968), 315-318; Special divisors and analytic subloci of Teichmueller space, Amer. J. Math. 88 (1966), 881-901. MR 222283
- 5.
- P. Griffiths, E. Arbarello, M. Cornalba and J. Harris, Ann. of Math. Studies, Princeton Univ. Press, Princeton, N. J. (to appear).
- 6.
- R. C. Gunning, Lectures on Riemann surfaces: Jacobi varieties, Princeton Univ. Press, Princeton, N. J., 1972. MR 357407
- 7.
- R. S. Hamilton, Non hyperelliptic Riemann surfaces, J. Differential Geometry 3 (1969), 95-101. MR 249604
- 8.
- S. H. Katz, Thesis, Princeton University, 1980.
- 9.
- G. Kempf, Schubert methods with an application to algebraic curves, Publ. Math. Centrum, Amsterdam, 1970.
- 10.
- G. Kempf, On the geometry of a theorem of Riemann, Ann. of Math. (2) 98 (1973), 178-185. MR 349687
- 11.
- S. Kleiman and D. Laksov, On the existence of special divisors, Amer. J. Math. 94 (1972), 431-436; Another proof of the existence of special divisors, Acta. Math. 132 (1974), 163-176. MR 357398
- 12.
- S. Kleiman, r-special subschemes and an argument of Severi's (Appendix by D. Laksov), Adv. in Math. 22 (1976), 1-31. MR 435071
- 13.
- R. F. Lax, On the dimension of varieties of special divisors. I, Trans. Amer. Math. Soc. 203 (1975), 141-159; II, Illinois J. Math. 19 (1975), 318-324. MR 360602
- 14.
- R. F. Lax, Weierstrass points of the universal curve, Math. Ann. 216 (1975), 35-42. MR 384809
- 15.
- J. Lewittes, Riemann surfaces and the theta function, Acta Math. 111 (1964), 37-61. MR 156964
- 16.
- G. Martens, Funktionen von vorgegebener Ordnung auf komplexen Kurven, J. Reine Angew. Math. (to appear). MR 592143
- 17.
- H. H. Martens, On the varieties of special divisors on a curve, J. Reine Angew. Math. 227 (1967), 111-120; Varieties of special divisors on a curve. II, J. Reine Angew. Math. 233 (1968), 89-100. MR 215847
- 18.
- H. H. Martens, On the partial derivatives of theta functions, Comment. Math. Helv. 48 (1973), 394-408. MR 344259
- 19.
- A. L. Mayer, Special divisors and the Jacobian variety, Math. Ann. 153 (1964), 163-167. MR 164969
- 20.
- T. Meis, Die minimale Blätterzahl der Konkretisierung einer kompakten Riemannschen Fläche, Schr. Math. Inst. Univ. Münster, No. 16 (1960), 61 pp. MR 147643
- 21.
- D. Mumford, Prym varieties. I, Contributions to Analysis, Academic Press, New York, 1974, pp. 325-350. MR 379510
- 22.
- D. Mumford, Curves and their Jacobians, Univ. of Mich. Press, Ann Arbor, Michigan, 1975. MR 419430
- 23.
- H. E. Rauch, Weierstrass points, branch points, and moduli of Riemann surfaces, Comm. Pure Appl. Math. 12 (1959), 543-560. MR 110798
- 24.
- H. E. Rauch, A transcendental view of the space of algebraic Riemann surfaces, Bull. Amer. Math. Soc. 71 (1965), 1-39. MR 213543
- 25.
- A. Weil, Zum Beweis des Torellischen Satz, Nachr. Akad. Wiss. Göttingen (1957), 33-53. MR 89483
Additional Information:
Reviewer(s):
Robert C.
Gunning
Review Information:
Journal:
Bull. Amer. Math. Soc.
4
(1981),
353-357.
DOI:
10.1090/S0273-0979-1981-14913-2
PII:
S 0273-0979(1981)14913-2
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