Cambridge University Press eBooks· 2012· Book chapter
Classical Algebraic Geometry
- 631citations
- 2012year
Short summary
This book makes the rich legacy of classical algebraic geometry, including plane curves, special surfaces, theta functions, and Cremona transformations, accessible to modern researchers.
AI-generated from the title and abstract; the full text is not read.
Key points
- Reintroduces classical algebraic geometry concepts like plane curves and Cremona transformations.
- Presents classical results in a language accessible to modern algebraic geometers.
- Aims to make the legacy of previous generations of algebraic geometers understandable.
- Complemented by a vast bibliography and exercises.
AI-generated from the title and abstract; the full text is not read.
Abstract
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.
The authors' abstract, as published at the source. Cambridge University Press eBooks, 2012 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics