论文标题
带有纤维角的歧管的产品
Products of manifolds with fibered corners
论文作者
论文摘要
带有纤维角的歧管作为分层空间的分辨率,在许多身体压缩的分辨率,模量空间和其他设置。我们定义了具有产品和横向纤维产品的一类纤维角歧管,概括了分层空间的产品和许多身体产品的分辨率,这是特殊情况。纤维角类别中的产品是通过爆炸来解决笛卡尔产品的解决方案,我们称之为“有序产品”。该有序的产品是楔形(又称不完整边缘)指标和准纤维边界指标的天然产品,该类别包括QAC和QALE指标。
Manifolds with fibered corners arise as resolutions of stratified spaces, in many body compactifications of vector spaces, moduli spaces, and other settings. We define a category of fibered corners manifolds which has products and transverse fiber products, generalizing both the resolutions of products of stratified spaces and many body products, which are special cases. The product in the fibered corners category is a resolution of the cartesian product by blow-up which we call the 'ordered product'. This ordered product is a natural product for wedge (aka incomplete edge) metrics and quasi-fibered boundary metrics, a class which includes QAC and QALE metrics.