Algebraic Geometry: An Introduction (Universitext) by Catriona Maclean

By Catriona Maclean

This advent to algebraic geometry assumes purely the normal heritage of undergraduate algebra and is very appropriate for people with no prior touch with the subject.The ebook focusses on projective algebraic geometry over an algebraically closed base box. It 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 elemental instruments of contemporary algebraic geometry: measurement; singularities; sheaves; types; and cohomology. The therapy makes use of as little commutative algebra as attainable through quoting with no evidence (or proving purely in particular circumstances) theorems whose facts isn't helpful in perform, the concern being to boost an figuring out of the phenomena instead of a mastery of the method. more than a few workouts is equipped for every subject mentioned, and a range of difficulties and examination papers are accumulated in an appendix to supply fabric for additional study.

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