Download e-book for kindle: Algebraic Geometry: An Introduction (Universitext) by Catriona Maclean

By Catriona Maclean

This advent to algebraic geometry assumes in basic terms the traditional heritage of undergraduate algebra and is especially compatible for people with no past 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 suggestions – for instance, Bézout’s theorem and the matter of rational curves – and makes use of those difficulties to introduce the elemental instruments of recent algebraic geometry: size; singularities; sheaves; types; and cohomology. The therapy makes use of as little commutative algebra as attainable by means of quoting with no evidence (or proving purely in specified situations) theorems whose evidence isn't worthy in perform, the concern being to enhance an realizing of the phenomena instead of a mastery of the procedure. a number of workouts is supplied for every subject mentioned, and a range of difficulties and examination papers are accrued 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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