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

By Catriona Maclean

This advent to algebraic geometry assumes merely the traditional historical past of undergraduate algebra and is very compatible for people with no earlier touch with the subject.The ebook focusses on projective algebraic geometry over an algebraically closed base box. It starts off with easily-formulated issues of non-trivial strategies – for instance, Bézout’s theorem and the matter of rational curves – and makes use of those difficulties to introduce the basic instruments of recent algebraic geometry: measurement; singularities; sheaves; kinds; and cohomology. The therapy makes use of as little commutative algebra as attainable by way of quoting with no facts (or proving merely in specific instances) theorems whose evidence isn't useful in perform, the concern being to strengthen an knowing of the phenomena instead of a mastery of the method. quite a number routines is equipped 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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