Algebraic geometry II - schemes and sheaves
MATH-510
Lecture 16 (08.11.24) Summary
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1) Coherent sheaves on locally noetherian schemes.
2) Properties and operations (pushforward, pullback) on coherent sheaves.
3) Pushforward of a quasicoherent sheaf under mild hypothesis is quasicoherent.
4) Tilda functor of a graded module gives a module on the Proj.
5) Properties of tilda functor.
6) Tilda of a graded module is quasicoherent.
2) Properties and operations (pushforward, pullback) on coherent sheaves.
3) Pushforward of a quasicoherent sheaf under mild hypothesis is quasicoherent.
4) Tilda functor of a graded module gives a module on the Proj.
5) Properties of tilda functor.
6) Tilda of a graded module is quasicoherent.