Brieskorn, Egbert; Knörrer, Horst [Stillwell, John] Plane algebraic curves. Transl. from the German by John Stillwell. (English) Zbl 0588.14019 Basel-Boston-Stuttgart: Birkhäuser Verlag. VI, 721 p. DM 98.00 (1986). See the review of the German original (1981; Zbl 0508.14018). Cited in 3 ReviewsCited in 228 Documents MSC: 14Hxx Curves in algebraic geometry 14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry 14-03 History of algebraic geometry 14H20 Singularities of curves, local rings 30F10 Compact Riemann surfaces and uniformization 14-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry 58C15 Implicit function theorems; global Newton methods on manifolds 51N15 Projective analytic geometry 14E15 Global theory and resolution of singularities (algebro-geometric aspects) 54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) 14H05 Algebraic functions and function fields in algebraic geometry Keywords:Riemann surface; resolution of singularities; Newton polygon Citations:Zbl 0508.14018 × Cite Format Result Cite Review PDF Digital Library of Mathematical Functions: §21.7(i) Connection of Riemann Theta Functions to Riemann Surfaces ‣ §21.7 Riemann Surfaces ‣ Applications ‣ Chapter 21 Multidimensional Theta Functions