MethodsofAlgebraicGeometry:Volume3(CambridgeMathematicalLibrary)

Thisworkprovidesalucidandrigorousaccountofthefoundationsofalgebraicgeometry.Theauthorshaveconfinedthemselvestofundamentalconceptsandgeometricalmethods,anddonotgivedetaileddevelopmentsofgeometricalpropertiesbutgeometricalmeaninghasbeenemphasisedthroughout.Hereinthisvolume,theauthorshaveagainconfinedtheirattentiontovarietiesdefinedonagroundfieldwithoutcharacteristic.Inordertofamiliarizethereaderwiththedifferenttechniquesavailabletoalgebraicgeometers,theyhavenotconfinedthemselvestoonemethodandonoccasionhavedeliberatelyusedmoreadvancedmethodswhereelementaryoneswouldserve,whenbysodoingithasbeenpossibletoillustratethepowerofthemoreadvancedtechniques,suchasvaluationtheory.TheothertwovolumesofHodgeandPedoe'sclassicworkarealsoavailable.Together,thesebooksgiveaninsightintoalgebraicgeometrythatisuniqueandunsurpassed.