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...Math algebraicgeometry instructor dragos oprea doprea you know where edu ofcehours room thursday pm tentatively textbook robin hartshorne algebraic geometry the is on reserve lectures mwf am webpage http ucsd html goals this course provides an introduction to a central subject in modern mathematics and active area of research it has connections with number theory dif ferential symplectic mathematical physics string representation com binatorics others mathisathreequartersequence mathawillserveaspreparationforacourseinschemetheory which may be covered bc will taught by professor mark gross winter andspringquarters wewillstudyafneandprojectivealgebraicvarieties andtheirproperties thegoalistocoverroughly rst chapter epsilon s book i hope illustrate general many exam ples syllabus we cover following topics afne space sets hilbert nullstellensatz correspondence between ideals zarisky topology irreducible dimension ii functions varieties coordinate rings sheaves morphisms isomorphisms ration...