Answer by Hanspeter Kraft for Affine bundles over varieties
The very interesting paper "Locally polynomial algebras are symmetric algebras, Invent. Math. 38 (1976/77), no. 3, 279–299. MR 0432626 (55 #5613), by H. Bass, E. H. Connell, and D. L. Wright, gives...
View ArticleAnswer by Georges Elencwajg for Affine bundles over varieties
Dear rvk, as you and Dave said, an affine bundle is a morphism $p:Y\to X$ such that for some open cover $(U_i)$ of $X$ there are isomorphisms $p^{-1}(U_i) \simeq {\Bbb A}^n \times U_i$. However the...
View ArticleAnswer by Dave Anderson for Affine bundles over varieties
I think the term "affine bundle" is used for at least two things: (1) A map $p:Y\to X$ such that for some open cover (in your choice of topology) there are isomorphisms $p^{-1}(U)={\Bbb A}^n \times U$...
View ArticleAffine bundles over varieties
Let $\mathbb{A}^n_k$ be the Affine $n$-space over an algebraically closed field $k$.Let $X$ be a variety over $k$. What would be the right definition of an "Affine bundle" i.e bundle of fiber type...
View Article