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 affine modifications / A. Dubouloz, S. Pauli, P.A. Oestvaer. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - 30:14(2019), pp. 1950069.1-1950069.34. [10.1142/S0129167X19500691]

A(1)-contractibility of affine modifications

P.A. Oestvaer
2019

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.
A1-contractible smooth affine schemes; Affine modifications; Brieskorn-Pham surfaces; Deformed Koras-Russell threefolds with degenerate fibers; Higher Chow groups; Motivic cohomology; Motivic homotopy theory
Settore MAT/03 - Geometria
Article (author)
File in questo prodotto:
File Dimensione Formato  
1805.08959-2.pdf

accesso aperto

Tipologia: Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione 387.53 kB
Formato Adobe PDF
387.53 kB Adobe PDF Visualizza/Apri
s0129167x19500691.pdf

accesso aperto

Tipologia: Publisher's version/PDF
Dimensione 684.86 kB
Formato Adobe PDF
684.86 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

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/2434/860100
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 4
social impact