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.
Reviewer: B.N.Apanasov (Norman)
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) |