Can anybody provide a link to some notes on grassmanians? I mean something 'elementary': description of Plucker embedding, lines and hyperplanes on grassmanians and so on.
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1"Elementary" often means "with coordinates", which makes basics such as the Plücker embedding incredibly complicated (as compared to the coordinate-free version). – Martin Brandenburg Jan 24 '14 at 10:28
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Paolo Piccione and Daniel Victor Tausk's "A Student’s Guide to Symplectic Spaces, Grassmannians and Maslov Index" is a good textbook to start with.
Zoltan Zimboras
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Joe Harris's "Algebraic Geometry: A First Course" has a dedicated chapter about the Grassmannian. Also, there are computations of the degree, tangent space, etc. (the style is a bit hard to follow, though)
Fredrik Meyer
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