I'm looking for a very specific book in algebraic geometry. I'm studying in this moment sheaves and I'm searching books with detailed proofs and explanations in this part. Almost every book I read in this field doesn't have for example that if $F$ is a pre-sheaf, then $F^+$ is a sheaf with a detailed proof.

Then what's the best book to study sheaves?


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    $\begingroup$ "Sheaves do not belong to algebraic geometry" - Tom Leinster (link) $\endgroup$ – Zev Chonoles Sep 5 '13 at 3:00
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    $\begingroup$ Görtz and Wedhorn's "Algebraic Geometry I". $\endgroup$ – user40276 Sep 5 '13 at 3:11
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    $\begingroup$ There are no good books which explain this in detail (OK, a counterexample is Bosch's Commutative Algebra and Algebraic Geometry) because this is a good exercise. If you cannot solve it, don't proceed in the theory. $\endgroup$ – Martin Brandenburg Sep 5 '13 at 8:29
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    $\begingroup$ @MartinBrandenburg very motivating! $\endgroup$ – user42912 Sep 5 '13 at 14:51
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    $\begingroup$ Dear user 42912,I warmly recommend the very detailed exposition in Tennison's book mentioned here. This book is the best introductory text to sheaves and is regrettably underappreciated. $\endgroup$ – Georges Elencwajg Sep 6 '13 at 7:53

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