Preface; 1. Polarity; 2. Conics and quadrics; 3. Plane cubics; 4. Determinantal equations; 5. Theta characteristics; 6. Plane quartics; 7. Cremona transformations; 8. Del Pezzo surfaces; 9. Cubic surfaces; 10. Geometry of lines; Bibliography; Index.
This detailed exposition makes classical algebraic geometry accessible to the modern mathematician.
Igor V. Dolgachev is Professor Emeritus in the Department of Mathematics at the University of Michigan.
'... the author has rendered a great, truly invaluable service to
the community of algebraic geometers worldwide. No doubt, this
great book is a product of ultimate enthusiasm, ethical principles
and expertise, which will help preserve the precious legacy of
classical algebraic geometry for further generations of
researchers, teachers and students in the field.' Werner Kleinert,
EMS Newsletter
'The amount of material covered is absolutely impressive - it
reflects the amazing culture of the author ... [He] has rendered a
great service to the algebraic geometry community: most of the
material treated was available previously only in classical texts,
which are quite difficult to read for modern mathematicians. This
is a wonderful book. Anyone interested in classical algebraic
geometry should have a copy.' Arnaud Beauville, Mathematical
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