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

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.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/03 - Geometria
eng
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
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
my2jdg.pdf

non disponibili

Licenza: Copyright dell'editore
Dimensione 325.25 kB
Formato Adobe PDF
325.25 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/90409
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 14
social impact