Algebraic Geometry: An Introduction (Universitext) by Catriona Maclean

By Catriona Maclean

This creation to algebraic geometry assumes in basic terms the traditional history of undergraduate algebra and is especially appropriate for people with no past touch with the subject.The publication focusses on projective algebraic geometry over an algebraically closed base box. It starts off with easily-formulated issues of non-trivial options – 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; forms; and cohomology. The remedy makes use of as little commutative algebra as attainable by means of quoting with no evidence (or proving purely in targeted instances) theorems whose evidence isn't worthy in perform, the concern being to boost an figuring out of the phenomena instead of a mastery of the method. quite a number routines is equipped for every subject mentioned, and a range of difficulties and examination papers are accumulated in an appendix to supply fabric for extra study.

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