ABSTRACT. We define the notion of complex stratification by quasifolds and show that such stratified spaces occur as complex quotients by certain nonclosed subgroups of tori associated to convex polytopes. The spaces thus obtained provide a natural generalization to the nonrational case of the notion of toric variety associated with a rational convex polytope. RÉSUMÉ . On définit la notion de stratification complexe de quasifolds et on montre que ces espaces stratifiés se réalizent comme quotients complexes par des sousgroupes non fermés de tores, associés aux polytopes convexes. Les espaces ainsi obtenus donnent une généralization naturelle, au cas non rationnel, de la notion de variété torique associée à un polytope convexe rationnel. Presented by Mark Goresky FRSC
Complex quotients by nonclosed groups and their stratifications / F.Battaglia. - In: COMPTES RENDUS MATHEMATIQUES DE L'ACADEMIE DES SCIENCES. - ISSN 0706-1994. - STAMPA. - 29:(2007), pp. 33-40.
Complex quotients by nonclosed groups and their stratifications
BATTAGLIA, FIAMMETTA
2007
Abstract
ABSTRACT. We define the notion of complex stratification by quasifolds and show that such stratified spaces occur as complex quotients by certain nonclosed subgroups of tori associated to convex polytopes. The spaces thus obtained provide a natural generalization to the nonrational case of the notion of toric variety associated with a rational convex polytope. RÉSUMÉ . On définit la notion de stratification complexe de quasifolds et on montre que ces espaces stratifiés se réalizent comme quotients complexes par des sousgroupes non fermés de tores, associés aux polytopes convexes. Les espaces ainsi obtenus donnent une généralization naturelle, au cas non rationnel, de la notion de variété torique associée à un polytope convexe rationnel. Presented by Mark Goresky FRSCFile | Dimensione | Formato | |
---|---|---|---|
nonsimple-complex.pdf
Accesso chiuso
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
3.58 MB
Formato
Adobe PDF
|
3.58 MB | Adobe PDF | Richiedi una copia |
nonsimple-complex-abstract.pdf
accesso aperto
Tipologia:
Altro
Licenza:
Open Access
Dimensione
12.46 kB
Formato
Adobe PDF
|
12.46 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.