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.

Mcquillan, M., Panazzolo, D. (2013). Almost étale resolution of foliations. JOURNAL OF DIFFERENTIAL GEOMETRY, 95(2), 279-319.

Almost étale resolution of foliations

MCQUILLAN, MICHAEL;
2013-01-01

Abstract

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.
2013
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/03 - GEOMETRIA
English
Con Impact Factor ISI
Mcquillan, M., Panazzolo, D. (2013). Almost étale resolution of foliations. JOURNAL OF DIFFERENTIAL GEOMETRY, 95(2), 279-319.
Mcquillan, M; Panazzolo, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/90409
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