By Daniel Perrin

ISBN-10: 1848000561

ISBN-13: 9781848000568

Aimed basically at graduate scholars and starting researchers, this e-book presents an creation to algebraic geometry that's rather compatible for people with no earlier touch with the topic and assumes simply the normal history of undergraduate algebra. it truly is constructed from a masters path given on the Université Paris-Sud, Orsay, and focusses on projective algebraic geometry over an algebraically closed base field.

The publication starts off with easily-formulated issues of non-trivial suggestions – for instance, Bézout’s theorem and the matter of rational curves – and makes use of those difficulties to introduce the basic instruments of contemporary algebraic geometry: measurement; singularities; sheaves; kinds; and cohomology. The therapy makes use of as little commutative algebra as attainable by way of quoting with no evidence (or proving simply in detailed situations) theorems whose facts isn't really valuable in perform, the concern being to boost an knowing of the phenomena instead of a mastery of the procedure. a number of workouts is equipped for every subject mentioned, and a variety of difficulties and examination papers are amassed in an appendix to supply fabric for extra examine.