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

By Catriona Maclean

This advent to algebraic geometry assumes basically the traditional heritage of undergraduate algebra and is very compatible for people with no earlier touch with the subject.The e-book 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 contemporary algebraic geometry: size; singularities; sheaves; forms; and cohomology. The remedy makes use of as little commutative algebra as attainable through quoting with no evidence (or proving in simple terms in designated circumstances) theorems whose facts isn't precious in perform, the concern being to enhance an knowing of the phenomena instead of a mastery of the approach. quite a number routines is supplied 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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