Algebraic Geometry - James Milne

Algebraic MilneVersion 19, 2017 These notes are an introduction to the theory of Algebraic varieties emphasizing the simi-larities to the theory of manifolds. In contrast to most such accounts they study abstractalgebraic varieties, and not just subvarieties of affine and projective space. This approachleads more naturally into scheme information@misc{milneAG,author={ Milne , James S.},title={ Algebraic Geometry ( )},year={2017},note={Available at },pages={221}} (August 24, 1996). First version on the (June 13, 1998). (October 30, 2003). Fixed errors; many minor revisions; added exercises; added twosections/chapters; 206 (February 20, 2005). Heavily revised; most numbering changed; 227 (March 19, 2008). Minor fixes; TEXstyle changed, so page numbers changed; (September 14, 2009).

Introduction There is almost nothing left to discover in geometry. Descartes, March 26, 1619 Just as the starting point of linear algebra is the study of the solutions of systems of

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