Algebraic Geometry - James Milne

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Algebraic MilneVersion 19, 2017These 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).

Contents Contents3 Introduction7 1 Preliminaries from commutative algebra11 a.Rings and ideals, 11 ; b.Rings of fractions, 15 ; c.Unique factorization, 21 ; d.Integral

  Fractions, Geometry, Algebraic geometry, Algebraic