The general dévissage theorem for Witt groups of schemes
The general dévissage theorem for Witt groups of schemes
复制标题
Witt 方案群的一般设计定理
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
Stefan Gille
中科院分区：
文献类型：
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作者：
Stefan Gille
Abstract.Let
$${pi: Z hookrightarrow X}$$
be a closed subscheme of the noetherian scheme X. We show that if X has a dualizing complex
$${mathcal{I}ullet}$$
then there exists a dualizing complex
$${pi^{
atural}(mathcal{I}ullet)}$$
of Z such that there is an isomorphism of coherent Witt groups
$${ ilde{W}^{i}(Z, pi^{
atural}(mathcal{I} ullet)) simeq{{ ilde{W}}^{i}_{Z}} (X,mathcal{I}ullet)}$$
for all
$${i in mathbb{Z}}$$
.
Abstract.Let
$${pi: Z hookrightarrow X}$$
be a closed subscheme of the noetherian scheme X. We show that if X has a dualizing complex
$${mathcal{I}ullet}$$
then there exists a dualizing complex
$${pi^{
atural}(mathcal{I}ullet)}$$
of Z such that there is an isomorphism of coherent Witt groups
$${ ilde{W}^{i}(Z, pi^{
atural}(mathcal{I} ullet)) simeq{{ ilde{W}}^{i}_{Z}} (X,mathcal{I}ullet)}$$
for all
$${i in mathbb{Z}}$$
.