Monthly Archives: May 2008

Serre Duality

Sorry that this one is late, things are going to continue to be hit-or-miss through June, though hopefully hit more than miss. Anyway, we’ve got a cohomology theory for sheaves. Anyone who has worked with cohomology of manifolds will know … Continue reading

Posted in AG From the Beginning, Algebraic Geometry, Big Theorems, Cohomology | 1 Comment

Cohomology of Sheaves

In order to get at surfaces, we don’t just need the scheme theory of the last two posts, but we also need to understand the cohomology of sheaves. We will not be proving all of the details, we will also … Continue reading

Posted in AG From the Beginning, Algebraic Geometry, Cohomology | Leave a comment

Proj of a Graded Ring and Basic Properties of Schemes

Last time, we talked about , which takes rings and gives us affine schemes in a manner analogous to affine varieties. Now, though it is safe to say that projective varieties are schemes (well, with the extra points taken into … Continue reading

Posted in AG From the Beginning, Algebraic Geometry | 6 Comments

Schemes

Sorry about the extended delay, should be back to regular Monday-Wednesday-Friday updates now. I hope. Anyway, we’re going to be heading into Intersection Theory soon, and in particular we’re going to be looking at surfaces. Sadly, at this point, abstract … Continue reading

Posted in AG From the Beginning, Algebraic Geometry | 6 Comments

New math blog!

A friend of mine from undergrad days has started up a math blog recently. He’s just getting started, but I, at least, expect him to do interesting things once he gets rolling (probably in another week or so, due to … Continue reading

Posted in Uncategorized | 1 Comment