The Rising Sea

Notes Update

May 16, 2006 on 12:21 pm | In Note Updates | No Comments

There have been various small changes to my notes, so if you’re using several of them you should update to the newest versions to avoid incorrect references. The only major addition this time is in DCOQS:

• Derived Categories of Quasi-coherent Sheaves (DCOQS) Added a section on “invertible complexes” which are complexes in the derived category of sheaves that are units under the derived tensor. Actually it is not too difficult to check that the derived picard group of a scheme is trivial, in that the only elements are shifts of invertible sheaves.