论文标题
代数矢量束和$ p $ - 局部a^1-homotopy理论
Algebraic vector bundles and $p$-local A^1-homotopy theory
论文作者
论文摘要
使用A^1-HOMOTOPY理论的技术,我们在经典球体群体中产生动力提升。这些升降机提供了球体的多项式图,并使我们能够在``简单'''简单''平滑仿射品种上构造``低等级''代数矢量束。
Using techniques of A^1-homotopy theory, we produce motivic lifts of elements in classical homotopy groups of spheres; these lifts provide polynomial maps of spheres and allow us to construct ``low rank'' algebraic vector bundles on ``simple'' smooth affine varieties of high dimension.