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Sheaves I

July 26, 2009

This post is incomplete. It is intended to be a summary of Hartshorne 2.1 plus a bit more.

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Diagonalization and Jordan Form I

July 25, 2009

This post talks about the existence of Jordan form by decomposing a vector space V into direct sum of generalized eigenspaces.

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Cayley-Hamilton Theorem II

July 24, 2009

This post proves the Cayley-Hamilton for finite R-modules, and generalize it to Nakayama’s lemma.

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Cayley-Hamilton theorem I

July 23, 2009

This post proves Cayley-Hamilton using invariant subspaces.

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July 23, 2009

The first post.

A test of latex (a^2+b^2+c^2)^2 \ge 3(a^3b+b^3c+c^3a) for any a,b,c \in \mathbb{R}.

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test

blah blah blah blah

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Hello world!

July 23, 2009

Welcome to WordPress.com. This is your first post. Edit or delete it and start blogging!