Algebraic Geometry: An Introduction (Universitext) by Catriona Maclean PDF

By Catriona Maclean

ISBN-10: 1848000553

ISBN-13: 9781848000551

This creation to algebraic geometry assumes merely the traditional historical past of undergraduate algebra and is especially compatible for people with no prior touch with the subject.The e-book focusses on projective algebraic geometry over an algebraically closed base box. It starts off with easily-formulated issues of non-trivial ideas – 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: measurement; singularities; sheaves; forms; and cohomology. The therapy makes use of as little commutative algebra as attainable by means of quoting with out facts (or proving purely in distinct circumstances) theorems whose facts isn't really invaluable in perform, the concern being to strengthen an knowing of the phenomena instead of a mastery of the procedure. a number of routines is supplied for every subject mentioned, and a range of difficulties and examination papers are accrued 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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