Algebraic Geometry: An Introduction (Universitext) - download pdf or read online

By Catriona Maclean

ISBN-10: 1848000553

ISBN-13: 9781848000551

This creation to algebraic geometry assumes in basic terms the traditional historical past of undergraduate algebra and is very compatible for people with no earlier 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 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: size; singularities; sheaves; kinds; and cohomology. The therapy makes use of as little commutative algebra as attainable through quoting with out facts (or proving merely in distinctive circumstances) theorems whose evidence isn't worthy in perform, the concern being to enhance an realizing of the phenomena instead of a mastery of the approach. more than a few workouts is supplied for every subject mentioned, and a range of difficulties and examination papers are amassed 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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