Read e-book online Algebraic Geometry: An Introduction (Universitext) PDF

By Catriona Maclean

This creation to algebraic geometry assumes basically the traditional heritage of undergraduate algebra and is especially appropriate for people with no earlier touch with the subject.The booklet focusses on projective algebraic geometry over an algebraically closed base box. It begins 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 elemental instruments of contemporary algebraic geometry: size; singularities; sheaves; forms; and cohomology. The remedy makes use of as little commutative algebra as attainable via quoting with no evidence (or proving merely in exact instances) theorems whose facts isn't useful in perform, the concern being to increase an knowing of the phenomena instead of a mastery of the procedure. more than a few routines is equipped for every subject mentioned, and a range of difficulties and examination papers are accrued 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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