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ࢯ໊ɿߴࢁໜ ໊ɿෳૉղੳɾෳૉزԿ,زԿ Ωʔϫʔυɿෳૉଟ༷ମ,K¨ahlerଟ༷ମ,ඪ४ଋ,ଟ༷ମͷۃখϞσϧཧ,খ ฏܕফ໓ఆཧ,L2-ධՁࣜ,∂-ํఔࣜ ݱࡏͷݚڀ֓ཁɿ ɹෳૉଟ༷ମΛෳૉزԿతͳํ๏ʹΑΓݚڀ͍ͯ͠Δɻಛʹʮඪ४ଋͷෳૉزԿֶʯ ͱ͍͏ςʔϚͰݚڀΛߦ͍ͬͯΔɻෳૉଟ༷ମͷඪ४ଋͱKX=∧nT!ʢT!Xͷਖ਼ X X ଇଋͷରʣͷ͜ͱͰ͋Δɻෳૉଟ༷ମͷʮزԿʯΛௐΑ͏ͱ͢Δͱ͖ʹɺͦͷ্ʹ ଘࡏ͍ͯ͠Δղੳతରʢਖ਼ଇؔɺ༗ཧܕؔɺඍܗࣜͳͲʣͷಛΛௐΔ͜ͱͰ ཧղ͢Δɺͱ͍͏ݚڀͷํ͕͋Δɻ͞Βʹͦͷղੳతରͷද֨ͱͯ͠ඪ४ଋͷۊ K"mͷਖ਼ଇஅΛ༻͍Δ͜ͱ͕͋͠͠Δɻ͜Ε͕ඪ४ଋͷඪ४ͨΔॴҎͰ͋Δɻඪ X ޠతʹʮඪ४ଋͯ͢ΛޠΔʯͱݴ͑Δɻ͜ͷߟ͑ͷڀۃͷҰྫ͕ଟ༷ମͷۃখ ϞσϧཧͰ͋Δɻඪ४ଋͷۊͷஅΛߏ͢Δͱ͖ʹɺ∂-ํఔࣜʢίʔγʔɾϦʔϚ ϯํఔࣜʣͷՄղੑɺਖ਼ଇؔͷL2֦ுఆཧͳͲͷղੳతख๏Λ༻͍Δɻଞํɺέʔ ϥʔɾΞΠϯγϡλΠϯܭྔʹද͞ΕΔඪ४έʔϥʔܭྔͷزԿֶɺϞϯδϡ-Ξϯ ϖʔϧํఔࣜʹද͞ΕΔඇઢܗภඍํఔࣜͷՄղੑʹؼண͞ΕΔɻඪ४έʔϥʔܭྔ ͷଘࡏɺଟ༷ମͷ҆ఆੑɺϞδϡϥΠཧͱີʹ͍ؔͯ͠ΔʢϠ-ςΟϠϯ-υ φϧυιϯ༧ʣɻزԿʹ͓͚ΔεΩʔϜͷΑ͏ͳۭؒͷಛҟࣗ༝ʹѻ͑Δ తΈɺ௨ৗͷղੳزԿͷखͷಧ͔ͳ͍෦Λཧղ͢Δ্ͰෆՄܽͰ͋Δɻ͜ͷ Α͏ʹɺزԿɺղੳ͔͍ͪؔʹ͋Δɻʢෳૉղੳࣗମͷݚڀ͍ͯ͠ͳ͍ɻʣ ֶੜͷཁɿ ͷجૅɺଟ༷ମɺҰมؔ͢Ͱʹशಘ͍ͯ͠Δͷͱͯ͠ɺͦΕΛجૅ ͱͯ͠زԿɺඍزԿɺଟมؔɺͱίϗϞϩδʔͳͲΛษڧͯ͠΄͍͠ɻ ɺزԿɺղੳ͕ަࠩ͢Δݚڀʹڵຯͷ͋ΔֶੜΛܴ͢Δɻؔ͢Δຊͱͯ࣍͠ͷ ͷ͕ڍ͛ΒΕΔɻଠࣈͷͷ֘ͷදతͳೖॻͷҰͭɻ زԿ: ɹHartshorne: Algebraic geometry, Springer GTM 52, ༁͋Γ. ɹLazarsfeld: Positivity in algebraic geometry I, II, Springer. ෳૉزԿ: ɹখฏ: ෳૉଟ༷ମ. ɹখྛতࣣ: ෳૉزԿ1,2,ؠ. ɹHuybrechts: Complex Geometry, Springer. ɹWells: Di!erential analysis on complex manifolds, Springer GTM 65. ɹDemailly: Analytic methods in algebraic geometry, International Press. ɹGri!ths-Harris: Principles of algebraic geometry. ଟมؔ: ɹH¨ormander: Complex analysis in several variables, ༁͋Γ. ɹେ݈: ଟมෳૉղੳ,ؠ. ɹதໜஉ: ଟมവ–ඍزԿֶతΞϓϩʔν–,ேॻళ.
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