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Riemann surfaces. 2nd ed. (English) Zbl 0764.30001

Graduate Texts in Mathematics. 71. New York etc.: Springer-Verlag. xvi, 363 p. (1992).
As result of a revision of the first edition of the book (see detailed review Zbl 0475.30001 by C. Andreian Cazacu), the authors rewrite the section VI.3 on the theta divisor and make a few modest additions, including some results on hyperelliptic surfaces (in sections III.10.5-6, V.1.10 and VII.1.10-11), and exercises as well as Torelli’s theorem and the trisecant formula.

MSC:

30-02 Research exposition (monographs, survey articles) pertaining to functions of a complex variable
30F10 Compact Riemann surfaces and uniformization
30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
30F30 Differentials on Riemann surfaces
30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization)

Citations:

Zbl 0475.30001