论文标题
Heller'相对K_0的投影捆绑包配方
Projective bundle formula for Heller' relative K_0
论文作者
论文摘要
在本文中，我们研究了地图的相对$ k_ {0} $组的组$ \ mathbb {p} _ {x}^{r}^{r} \ to \ mathbb {p} _ {s} _ {s}^{r}，$ x $，$ x $和$ s $是quasi-prodigntive nequementive nequementive and commutative and commutative ring。更准确地说，我们证明了投影捆绑式公式适用于Heller的相对$ k_ {0}，提供的$ x $ $ x $在$ S上是平面的。发电机和关系的条款，提供$ x $是Aggine and Flat of $ S。
In this article, we study the Heller relative $K_{0}$ group of the map $\mathbb{P}_{X}^{r} \to \mathbb{P}_{S}^{r},$ where $X$ and $S$ are quasi-projective schemes over a commutative ring. More precisely, we prove that the projective bundle formula holds for Heller's relative $K_{0},$ provided $X$ is flat over $S.$ As a corollary, we get a description of the relative group $K_{0}(\mathbb{P}_{X}^{r} \to \mathbb{P}_{S}^{r})$ in terms of generators and relations, provided $X$ is affine and flat over $S.$
