By Catriona Maclean

ISBN-10: 1848000553

ISBN-13: 9781848000551

This advent to algebraic geometry assumes in simple terms the normal heritage of undergraduate algebra and is especially appropriate for people with no prior 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 recommendations – 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: size; singularities; sheaves; kinds; and cohomology. The remedy makes use of as little commutative algebra as attainable by way of quoting with out facts (or proving simply in particular circumstances) theorems whose evidence isn't really valuable in perform, the concern being to enhance an realizing of the phenomena instead of a mastery of the process. more than a few routines is equipped for every subject mentioned, and a variety of difficulties and examination papers are gathered in an appendix to supply fabric for extra study.

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Algebraic Geometry: An Introduction (Universitext) by Catriona Maclean


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