By Catriona Maclean

This creation to algebraic geometry assumes in simple terms the traditional history of undergraduate algebra and is especially compatible for people with no prior 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 therapy makes use of as little commutative algebra as attainable by means of quoting with out evidence (or proving purely in specific instances) theorems whose facts isn't important in perform, the concern being to improve an figuring out of the phenomena instead of a mastery of the procedure. various workouts is equipped for every subject mentioned, and a range of difficulties and examination papers are gathered in an appendix to supply fabric for additional study.

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Algebraic Geometry: An Introduction (Universitext) by Catriona Maclean

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