In this paper we deal with compactifications of affine homology 3-cells into quadric fibrations such that the boundary divisors contain fibers. We show that all such affine homology 3-cells are isomorphic to the affine 3-space A3. Moreover, we show that all such compactifications can be connected by explicit elementary links preserving A3 to the projective 3-space P3.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory