Algebraic Geometry: An Introduction (Universitext) by Catriona Maclean

By Catriona Maclean

This creation to algebraic geometry assumes merely the traditional history of undergraduate algebra and is very compatible for people with no earlier touch with the subject.The booklet focusses on projective algebraic geometry over an algebraically closed base box. It begins 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 elemental instruments of contemporary algebraic geometry: measurement; singularities; sheaves; types; and cohomology. The remedy makes use of as little commutative algebra as attainable via quoting with no evidence (or proving in simple terms in targeted situations) theorems whose evidence isn't really worthwhile in perform, the concern being to strengthen an figuring out of the phenomena instead of a mastery of the strategy. various workouts is supplied for every subject mentioned, and a range of difficulties and examination papers are amassed in an appendix to supply fabric for extra study.

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