Almost Étale resolution of foliations

Autor: Michael McQuillan, Daniel Panazzolo
Rok vydání: 2013
Předmět:
Zdroj: J. Differential Geom. 95, no. 2 (2013), 279-319
ISSN: 0022-040X
DOI: 10.4310/jdg/1376053448
Popis: 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.
Databáze: OpenAIRE