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The text covers the important topics of sheaf theory, including types of sheaves and the fundamental operations on them, such as ...
coherent and quasicoherent sheaves.
proper and projective morphisms.
direct and inverse images.
Cech cohomology.
For the mathematician unfamiliar with the language of schemes and sheaves, algebraic geometry can seem distant. However, Ueno makes the topic seem natural through his concise style and his insightful explanations. He explains why things are done this way and supplements his explanations with illuminating examples. As a result, he is able to make algebraic geometry very accessible to a wide audience of non-specialists.
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