Daily Archives: July 22, 2008

Nakayama’s Lemma

I promised a minipost on Nakayama when I talked about Flattening Stratifications, and I’ve got a moment now, so I’ll do it quickly. This post is all commutative algebra. So we’ll quickly state Nakyama: Nakayama’s Lemma: Let be an ideal … Continue reading

Posted in AG From the Beginning, Algebraic Geometry, Big Theorems | 13 Comments

Dr. Horrible goes to Broadway?

This may just be me getting hopeful, but after reading this at the LA Times blog, and catching the following quote, I think I have reason: “We’re too busy talking about the giant Broadway adaptation, the much longer film version … Continue reading

Posted in Uncategorized | Leave a comment

Flattening Stratifications

Now we move on to the next ingredient in the construction: flattening stratifications. We’ll start with just stating the theorem that Kollár used: Theorem: Let be a projective scheme and ample. Let be a coherent sheaf on . For every … Continue reading

Posted in AG From the Beginning, Algebraic Geometry, Hilbert Scheme | 3 Comments