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

By Catriona Maclean

This advent to algebraic geometry assumes in basic terms the traditional heritage of undergraduate algebra and is especially compatible for people with no prior touch with the subject.The ebook 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; types; and cohomology. The therapy makes use of as little commutative algebra as attainable by way of quoting with out evidence (or proving basically in particular circumstances) theorems whose evidence isn't really helpful in perform, the concern being to improve an realizing of the phenomena instead of a mastery of the procedure. more than a few routines is supplied for every subject mentioned, and a range of difficulties and examination papers are amassed 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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