I am teaching an introductory course in algebraic geometry for masters and it turns out that many of them are not at all familiar with the notion of projective space. So it is necessary to spend two-three hours on explaining what this notion. I would like to know if there is a short (say 5-10 pages) carefully written note with a nice explanation of what is projective space containing some non-tautological statements (like Desargues theorem) that would help to students to get a feeling.
Explaining projective space to master students
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geometry
reference-request
algebraic-geometry
projective-geometry
projective-space
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0I'm actually a masters student who is just now learning projective space on my own, and I found the introduction to projective space given in the book Ideals, Quotients, and Algorithms to be really good and eminently understandable, you might take a look at it and write some notes up based on it, on your own. – 2012-10-24