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List of theorems
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==Algebraic geometry== *[[AF+BG theorem]] (''[[algebraic geometry]]'') *[[AbelâJacobi theorem]] (''[[algebraic geometry]]'') *[[AbhyankarâMoh theorem]] (''[[algebraic geometry]]'') *[[Addition theorem]] (''[[algebraic geometry]]'') *[[AndreottiâFrankel theorem]] (''[[algebraic geometry]]'') *[[Arithmetic RiemannâRoch theorem]] (''[[algebraic geometry]]'') *[[Decomposition theorem of Beilinson, Bernstein and Deligne|BBD decomposition theorem]] (''[[algebraic geometry]]'') *[[Base change theorems]] (''[[algebraic geometry]]'') *[[BeauvilleâLaszlo theorem]] (''[[vector bundles]]'') *[[Belyi's theorem]] (''[[algebraic geometry]]'') *[[Bertini's theorem]] (''[[algebraic geometry]]'') *[[BĂŠzout's theorem]] (''[[algebraic geometry]]'') *[[Borel fixed-point theorem]] (''[[algebraic geometry]]'') *[[Castelnuovo theorem]] (''[[algebraic geometry]]'') *[[CayleyâSalmon theorem]] (''[[algebraic surface]]s'') *[[Chasles' theorem (geometry)|Chasles' theorem]] (''[[algebraic geometry]]'') *[[Chevalley's structure theorem]] (''[[algebraic geometry]]'') *[[Faltings's theorem]] (''[[Diophantine geometry]]'') *[[FultonâHansen connectedness theorem]] (''[[algebraic geometry]]'') *[[GrauertâRiemenschneider vanishing theorem]] (''[[algebraic geometry]]'') *[[GrothendieckâHirzebruchâRiemannâRoch theorem]] (''[[algebraic geometry]]'') *[[Grothendieck's connectedness theorem]] (''[[algebraic geometry]]'') *[[Haboush's theorem]] (''[[algebraic group]]s'', ''[[representation theory]]'', ''[[invariant theory]]'') *[[Harnack's curve theorem]] (''[[real algebraic geometry]]'') *[[Hasse's theorem on elliptic curves]] (''[[number theory]]'') *[[Hilbert's Nullstellensatz]] (theorem of zeroes) (''[[commutative algebra]]'', ''[[algebraic geometry]]'') *[[Hironaka theorem]] (''[[algebraic geometry]]'') *[[Hodge index theorem]] (''[[algebraic surface]]s'') *[[KatzâLang finiteness theorem]] (''[[number theory]]'') *[[Lefschetz hyperplane theorem]] (''[[algebraic topology]]'') *[[Leray's theorem]] (''[[algebraic geometry]]'') *[[ManinâDrinfeld theorem]] (''[[number theory]]'') *[[Algebraic surface|Max Noether's theorem]] (''[[algebraic geometry]]'') *[[Mazur's torsion theorem]] (''[[algebraic geometry]]'') *[[Mumford vanishing theorem]] (''[[algebraic geometry]]'') *[[Nagata's compactification theorem]] (''[[algebraic geometry]]'') *[[Noether's theorem on rationality for surfaces]] (''[[algebraic surface]]s'') *[[Proper base change theorem]] (''[[algebraic geometry]]'') *[[Puiseux series#NewtonâPuiseux theorem|Puiseux's theorem]] (''[[algebraic geometry]]'') *[[Ramanujam vanishing theorem]] (''[[algebraic geometry]]'') *[[Reider's theorem]] (''[[algebraic surface]]s'') *[[RiemannâRoch theorem for surfaces]] (''[[algebraic surface]]s'') *[[Sylvester pentahedral theorem]] (''[[invariant theory]]'') *[[Theorem of the cube]] (''[[algebraic varieties]]'') *[[Torelli theorem]] (''[[algebraic geometry]]'') *[[Tsen's theorem]] (''[[algebraic geometry]]'') *[[Weber's theorem (Algebraic curves)|Weber's theorem]] (''[[algebraic curve]]s'') *[[Zariski's connectedness theorem]] (''[[algebraic geometry]]'') *[[Zariski's main theorem]] (''[[algebraic geometry]]'')
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