ALMOST ETALE RESOLUTION OF FOLIATIONS

作者:McQuillan Michael*; Panazzolo Daniel
来源:Journal of Differential Geometry, 2013, 95(2): 279-319.

摘要

In the general, this article addresses the nature of, and relation between, canonical and log-canonical singularities of foliations by curves. The case of equivariance under a finite group action has several peculiarities, amongst which are examples from dimension 3 onward where no birational modification can be both Gorenstein and log-canonical. The article in the specific, i.e. a functorial resolution algorithm for foliated 3-folds in the 2-category of Deligne-Mumford champs, is thus not only optimal but natural.

  • 出版日期2013-10