We introduce Koras-Russell fiber bundles over algebraically closed fields of characteristic zero. After a single suspension, this exhibits an infinite family of smooth affine 1-contractible 3-folds. Moreover, we give examples of stably 1-contractible smooth affine 4-folds containing a Brieskorn-Pham surface, and a family of smooth affine 3-folds with a higher-dimensional 1-contractible total space.
A(1)-contractibility of Koras-Russell threefolds / M. Hoyois, A. Krishna, P.A. Oestvaer. - In: ALGEBRAIC GEOMETRY. - ISSN 2214-2584. - 3:4(2016), pp. 407-423. [10.14231/AG-2016-019]
A(1)-contractibility of Koras-Russell threefolds
P.A. Oestvaer
2016
Abstract
We introduce Koras-Russell fiber bundles over algebraically closed fields of characteristic zero. After a single suspension, this exhibits an infinite family of smooth affine 1-contractible 3-folds. Moreover, we give examples of stably 1-contractible smooth affine 4-folds containing a Brieskorn-Pham surface, and a family of smooth affine 3-folds with a higher-dimensional 1-contractible total space.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
1409.1293.pdf
accesso aperto
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
279.15 kB
Formato
Adobe PDF
|
279.15 kB | Adobe PDF | Visualizza/Apri |
2016-4-019.pdf
accesso aperto
Tipologia:
Publisher's version/PDF
Dimensione
432.2 kB
Formato
Adobe PDF
|
432.2 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.