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

By Catriona Maclean

This creation to algebraic geometry assumes purely the normal historical past of undergraduate algebra and is very appropriate for people with no past 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 options – 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 therapy makes use of as little commutative algebra as attainable via quoting with no facts (or proving in simple terms in specific circumstances) theorems whose evidence isn't beneficial in perform, the concern being to enhance an knowing of the phenomena instead of a mastery of the method. more than a few routines is equipped for every subject mentioned, and a variety of difficulties and examination papers are accumulated 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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