I would like to start ideas of localy ringed space, schemes, sheaf and their uses and properties and examples from very elementary level. would any one suggest me a book or notes which explains those things with lots of examples may be some pictures etc?
localy ringed space, schemes,sheaf
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reference-request
algebraic-geometry
1 Answers
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A book from which I learned a lot is Algebraic Geomtry - An Introduction by Daniel Perrin. Chapter 3 gives a nice motivation for sheaves and locally ringed spaces, without being too abstract. Also, I recommend The geometry of schemes by Joe Harris and David Eisenbud.
But you won't get everything from these books. For more advanced stuff, I recommend the (classic) Algebraic Geometry by Robin Hartshorne and the (not-so classic but very good) Algebraic geometry and arithmetic curves by Qing Liu.
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0And by the way, the first two books I mentionned are available online through the library of my university; it may be the case that they are also available through yours – 2012-05-21
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0it would be great, if you give the link of pdf of those? – 2012-05-21
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0@Makuasi You will have to look through your university's library. For example, if I search for *The geometry of schemes*, I get the following: http://mcgill.worldcat.org/title/geometry-of-schemes/oclc/41580624&referer=brief_results , and it tells me that there is an eletronic copy available. But this depends on what kind of subscriptions you university has, and the resources provided by the library. – 2012-05-21
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0ok dear sir, i will collect it. :) – 2012-05-21