Abstract
In this paper we give a new definition for non-commutative $\PP^1$-bundles over commutative schemes. The main motivation for this is that every non-commutative deformation of a Hirzebruch surface is given by a non-commutative $\PP^1$-bundle over $\PP^1$.
| Original language | English |
|---|---|
| Pages (from-to) | 6279-6313 |
| Number of pages | 35 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 364 |
| Publication status | Published - 1 Jan 2012 |
Keywords
- Bundles.