Algebraic Geometry: An Introduction (Universitext) by Catriona Maclean

By Catriona Maclean

This advent to algebraic geometry assumes simply the normal heritage of undergraduate algebra and is very compatible for people with no prior touch with the subject.The publication focusses on projective algebraic geometry over an algebraically closed base box. It begins with easily-formulated issues of non-trivial strategies – 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: size; singularities; sheaves; kinds; and cohomology. The therapy makes use of as little commutative algebra as attainable through quoting with no evidence (or proving purely in specific situations) theorems whose evidence isn't really precious in perform, the concern being to enhance an figuring out of the phenomena instead of a mastery of the procedure. more than a few workouts is supplied for every subject mentioned, and a range of difficulties and examination papers are amassed in an appendix to supply fabric for additional study.

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