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...Math algebraic geometry i introduction to varieties lecturesbyprof mirceamustat a notesbyaleksanderhorawa these are notes from taught by professor mircea musta ta in fall lt x ed aleksander horawa who is the only person responsible for any e mistakes that may be found them this version january check latest of at http www personal umich edu ahorawa index html if you nd typos or please let me know references rst part course mumford red book and schemes chapter shafarevich basic hartshorne problem sets homeworks ocial can on website mmustata contents ane ideals n topology regular functions morphisms local rings rational maps products quasi toric normal dimension krull date finite between principal ideal theorem bers general presheaves sheaves prevarieties subvarieties fibered separated projective space classes proper complete flat smooth tangent points blow ups back bertini s resolution singularities quasicoherent coherent operations with o modules affine goal establish correspondence geo...